ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • control theory  (12)
  • Electron Microscopy  (11)
  • Springer  (23)
  • Krefeld : Geologischer Dienst Nordhein-Westfalen
  • Wien : Geolog. Bundesanst.
  • 2010-2014
  • 2005-2009
  • 1975-1979  (23)
  • 2010
  • 1975  (23)
Collection
Publisher
  • Springer  (23)
  • Krefeld : Geologischer Dienst Nordhein-Westfalen
  • Wien : Geolog. Bundesanst.
Years
  • 2010-2014
  • 2005-2009
  • 1975-1979  (23)
Year
  • 1
    ISSN: 1432-1017
    Keywords: Langmuir-Blodgett Layers ; Instability ; Crystallization ; Electron Microscopy ; Infrared Spectroscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract Results of an investigation of the stability of n-layers of barium stearate, cadmium arachidate and tripalmitin by means of electron microscopy and attenuated total reflection infrared spectroscopy are reported. Odd and even numbered barium stearate n-layers with n=1,2,3.4,5 are found to rearrange spontaneously from a regular film into ultrastructures of irregular, flat islands of varying thickness. The kinetics of the phase transformation of the first layer depends on the substrate, that of n-layers appears to be dependent on n, the temperature, and the surrounding medium. The kinetic behaviour of odd and even numbered layers is distinctly different. Similar studies on cadmium arachidate layers reveal much slower kinetics of the rearrangement process. In the case of tripalmitin n-layers it is shown that electron microscopy and infrared spectroscopy yield valuable complementary information about ultrastructure and molecular structure of the layers in correlation with the rearrangement process, which also occurs with this system. Consequences of the results of this paper for work published in various fields are briefly discussed.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Archives of microbiology 104 (1975), S. 171-178 
    ISSN: 1432-072X
    Keywords: Rhizobium ; Bacteriophage ; Electron Microscopy ; Fine Structure ; Optical Diffraction ; DNA ; “Sticky Ends” ; Partial Denaturation ; AT-GC-Map ; Computer Application
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Bacteriophage 16-6-12 of Rhizobium lupini has a long, non-contractile tail and a head which is hexagonal in outline. The tail is 140 nm in length, 11 nm in diameter, and carries a short terminal fiber. Analysis of the tail structure by optical diffraction indicates that it is of the helical “stacked disc” type. After phenol-extraction from purified particles, the DNA of phage 16-6-12 can circularize in vitro. No significant difference in contour length was observed between the linear (14.34±0.28 μm) and circular (14.44±0.24 μm) forms of molecules. After partial denaturation with alkali an AT-GC-map was constructed, which shows an asymmetric distribution of AT- and GC-rich regions. It is concluded that this phage DNA can circularize due to the presence of cohesive ends and that it is not circularly permuted.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Archives of microbiology 105 (1975), S. 329-333 
    ISSN: 1432-072X
    Keywords: Piptocephalis ; Electron Microscopy ; Sporangiospore ; Mucorales ; Freeze-Etching ; Merosporangium ; Plasmalemma ; Wall Structure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Sporangiospore structure in Piptocephalis unispora Benjamin was studied using light microscopy, freeze-etching, scanning and transmission electron microscopy, and compared with that of other members of the Mucorales. A merosporangial wall, plasmalemmal invaginations, and wall protuberances were demonstrated in sections and their possible significance discussed.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Archives of microbiology 102 (1975), S. 75-83 
    ISSN: 1432-072X
    Keywords: Fine-Structure ; Acinetobacter sp. ; Hydrocarbon Inclusions ; Electron Microscopy ; X-Ray Diffraction ; Transport of Hydrocarbons
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract 1. The fine-structure analysis of the hydrocarbon oxidizing microorganism, Acinetobacter sp., demonstrated a cytoplasmic modification resulting from growth on paraffinic and olefinic hydrocarbons. 2. Intracytoplasmic hydrocarbon inclusions were documented by electron microscopy with chemical identifications obtained by gas chromatography and X-ray diffraction. 3. These results demonstrate the ability of a micro-organism to accumulate hydrocarbon substrates intracellularly which, in turn, indicates transport across the cell membrane.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Archives of microbiology 102 (1975), S. 59-64 
    ISSN: 1432-072X
    Keywords: Membrane Proteins ; Electron Microscopy ; Rhodospirillum rubrum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Intracytoplasmic membranes isolated from Rhodospirillum rubrum, mutant strain VI, were extracted with the detergent lauryl dimethyl amine oxide. Subsequently two fractions were isolated, one of which contained reaction centers and the other contained light-harvesting bacteriochlorophyll of the photosynthetic apparatus. The two fractions are compared with unextracted membranes on the basis of protein patterns obtained by different methods of polyacrylamide gelelectrophoresis. Electron micrographs of the light-harvesting bacteriochlorophyll fraction reveal the presence of vesicular membrane structures. The only difference between such membranes and unextracted membranes is identified after freeze etching. While unextracted membrane surfaces are studded with particles extracted membranes exhibit a smooth surface.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 6
    ISSN: 1432-072X
    Keywords: Candida tropicalis ; Catalase Activity ; Development of Microbodies ; Electron Microscopy ; Utilization of n-Alkanes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Development of microbodies in Candida tropicalis pK 233 was studied mainly by electron microscopical observation. The yeast cells, precultured on malt extract, scarcely contained microbodies and showed very low catalase activity. When the precultured cells were transferred to a n-alkane medium and incubated with shaking, the number of microbodies increased and concomitantly the activity of catalase was enhanced. That is, both the area ratio of microbodies in the cell and the ratio of microbodies to cytoplasm in area increased significantly during the utilization of n-alkanes for 8 hrs. Localization of catalase in the microbodies was demonstrated cytochemically by use of 3,3′-diaminobenzidine, but other organella in the cell, except for vacuoles appearing in the early growth phase and mitochondria, were not stained with this reagent. Microbodies seemed to grow by division. Biogenesis of microbodies in the yeast cells is also discussed.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Archives of microbiology 103 (1975), S. 91-112 
    ISSN: 1432-072X
    Keywords: Phytophthora ; Electron Microscopy ; Oogonium ; Oosphere ; Antheridium ; Oospore ; Wall Morphogenesis ; Amphigyny
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Gametangial development and oospore formation were studied, with emphasis on cell wall morphogenesis, on mated cultures (A1xA2) of Phytophthora capsici. In this species, the oogonial and antheridial hyphae interact to produce a typical amphigynous antheridium. The following developmental steps were recognized: 1) contact between oogonial and antheridial initials; 2) penetration of the antheridial initial by the oogonial initial; 3) reemergence of the oogonial initial; 4) oogonial expansion; 5) gametangial delimitation and oogonial wall thickening; 6) penetration of the oogonium by the antheridial fertilization tube; 7) oosphere formation; 8) periplasm degeneration and outer oospore wall formation; and 9) inner oospore wall formation. Electron micrographs were obtained of steps 3–9. Steps 1 and 2 were reconstructed from subsequent events. Steps 3–6 are stages of active wall formation with clear indication of intensive dictyosome activity leading to the formation of numerous wall-destined vesicles of two different sizes and electron densities. No vesicles were seen associated with the development of the inner oospore wall; however, by this stage of development the oosphere cytoplasm exhibited an overall intense electron density that obscured fine detail. Cytoplasmic appearance changed enormously during differentiation, from a developing oogonium rich in mitochondria, ribosomes, rough endoplasmic reticulum, dictyosomes and their vesicles, through an oosphere filled with large “finger-print” vacuoles and lipid-like bodies, to a mature oospore with a large central vacuole (ooplast) surrounded by a cortex of numerous lipid-like bodies; other organelles are confined to the interstitial space between these storage bodies.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Archives of microbiology 104 (1975), S. 215-223 
    ISSN: 1432-072X
    Keywords: Mesosome ; Tubular Membranes ; Fine Structure ; Electron Microscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Description / Table of Contents: Zusammenfassung Während einer 10tägigen Inkubation als Oberflächenkultur bei 30°C durchliefen Zellen des gramnegativen Bodenbakteriums Pseudomonas rhodos drei Wachstumsphasen, die sich physiologisch und morphologisch voneinander unterschieden. Elektronemikroskopische Untersuchungen an jungen Zellen zeigten Mesosomen in typisch eingerollter Form. In alternden Zellen konnten stattdessen lose gerollte oder langgestreckte, abgeplattet-tubuläre Membransysteme gefunden werden, die als degenerierende Mesosomen gedeutet wurden. Durch Lysozym- oder Ultraschall-behandlung dieser Zellen konnten tubuläre Strukturen isoliert und durch differentielle Zentrifugation angereichert werden. Elektronenmikroskopische Aufnahmen solcher Anreicherungen zeigten lange, abgeplattete Röhren, die gelegentlich an einem Ende geschlossen erschienen. Ihr Durchmesser betrug 34±5 nm. Sie waren mit einer Substanz ausgekleidet, die durch Trypsin abgebaut werden konnte, wobei eine elektronentransparente Matrix freigelegt wurde. Isolierte Tubuli zeigten in einigen Fällen einen periodischen Feinbau aus ellipsoiden Untereinheiten. Die lichtoptische Diffraktions-analyse ergab ein Gitter von Untereinheiten, die in Schrauben mit einer 27°-Steigung angeordnet sind; die Dimensionen der Elementarzelle betragen 112×56 Å. Die Proteinnatur der Gitterkomponenten wurde aus ihrer Trypsinempfindlichkeit gefolgert. Es wird postuliert, daß diese Proteinkomponenten auf einer tubulären Membranmatrix aufgelagert sind. Form und Feinstrukturparameter unterscheiden die Tubuli deutlich von einer periodisch aufgebauten Schicht der P. rhodos-Zellwand mit tetragonalem Gitter sowie von den “polyheads” und “polysheaths” defekter Bakteriophagen. Ihre mögliche Entstehung aus intakten Mesosomen wird diskutiert.
    Notes: Abstract During a 10 day-incubation on agar surfaces at 30°C, cells of the gram-negative soil bacterium Pseudomonas rhodos pass through three phases distinguishable by physiological and morphological criteria. When viewed by electron microscopy, typically “rolled” mesosomes could frequently be observed in young cells. In aged cells instead, loosely rolled or stretched-out, flattened tubules could be discerned, presumed to be degenerate mesosomes. Tubular flattened structures have been isolated from these cells by lysozyme treatment or sonication and were concentrated by differential centrifugation. Electron micrographs of these preparations showed long, straight tubules which sometimes appeared sealed at one end. Their width was 34±5 nm. They contained a lining of material, which could be digested by trypsin leaving behind an electron-transparent matrix. In rare cases, isolated tubules showed a periodic fine structure composed of ellipsoidal subunits. Optical diffraction analysis yielded a lattice consisting of subunits arranged in helices of pitch-angle 27°; the unit cell dimensions were shown to be 112×56 Å. Owing to their sensitivity to trypsin, components of the regular lattice are supposed to consist of protein. It is postulated that these protein components are layered onto a tubular membrane. These tubules are clearly distinguishable by their shape and fine structure from the periodic structure of a P. rhodos cell wall layer, which exhibits a tetragonal pattern, and also from polyheads and polysheaths of defective bacteriophages. Their possible origin from intact mesosomes is discussed.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 9
    ISSN: 1432-0878
    Keywords: Islands of Langerhans ; Mitochondria ; Enzymes ; Tissue Culture ; Electron Microscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Isolated islets of Langerhans from mice were maintained in tissue culture for one week at either a high (28 mM) or a low (3.3 mM) extracellular glucose concentration. Electron microscopic morphometry by means of stereological methods revealed a much greater volume of mitochondria in islet cells cultured at low glucose than in those cultured at high glucose. The former islets also showed a higher activity of the mitochondrial marker enzyme, L-3-hydroxyacyl-CoA-dehydrogenase (E.C.1.1.1.35). These results indicate a true mitochondrial hypertrophy at the low glucose concentration. Although it is known from previous studies that the islet cell metabolism is diminished after low-glucose culture, the present observations of an increased mitochondrial volume probably do not reflect a degenerative process, but rather adaptive changes towards oxidation of energy yielding substrates other than glucose.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Cell & tissue research 165 (1975), S. 89-102 
    ISSN: 1432-0878
    Keywords: Spermiogenesis (teleost) ; Microtubules ; Centriolar complex ; Electron Microscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary During nuclear elongation in spermatids of Gambusia affinis, a deep fossa is formed at the base of the nucleus in which the centriolar complex and proximal portion of the flagellum reside. To stabilize the positional relationship between the nucleus and centriolar complex, while nuclear morphogenesis is taking place, a series of microtubules develop which emanate from the centriolar complex and extend to the nuclear envelope lining the fossa. Buttressing microtubules also develop within the nuclear fossa which both originate and insert along the nuclear envelope. These appear to stabilize nuclear shape prior to the time when chromatin condensation has proceeded to the stage where it could lend structural stability to nuclear form. Microtubules develop only after specific nuclear morphogenic events have taken place. It is therefore concluded that the spermatid nucleus is capable of “self-assembly” involving microtubules in a supportive role in addition to stabilizing the nuclear-flagellar relationship in G. affinis. The pattern of nuclear fossa-associated microtubules in G. affinis is significantly different from that observed in other poeciliid teleosts indicating a degree of species specificity with regard to both the timing of appearance and total number of microtubules.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Cell & tissue research 156 (1975), S. 239-252 
    ISSN: 1432-0878
    Keywords: Olfactory mucosa ; Sense organs ; Reptilia ; Electron Microscopy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Olfactory epithelium in Tiliqua scincoides scincoides is of a loosely packed pseudostratified type. It receives secretion from the supporting cells and the underlying glands of Bowman. Its surface bears microvilli and cilia from sensory cells and microvilli from supporting cells. The vomeronasal epithelium is also pseudostratified but higher and more closely packed. Its surface carries microvilli from sensory and supporting cells but lacks cilia. Vascular connective tissue penetrates it almost to the epithelial surface but is always outlined by basal cell processes and a basal lamina. There are no secretory cells in or under the sensory epithelium but some cells in the epithelium of the mushroom body contain secretion granules. Sensory cells of both epithelia are bipolar neurons. The perikarya of the vomeronasal cells are more neuronal in character. Axonic processes are similar in both, dendrites are distinctive. Olfactory dendrites end in rounded rods bearing microvilli and cilia of an unusual type. Microvilli with filamentous cores occur on vomeronasal dendrites. There are no cilia, but 2–6 centrioles appear below the cell surface. Basal cells are structurally similar in both epithelia, but axonic processes of olfactory cells are surrounded by supporting cell processes, while vomeronasal axonic processes are surrounded by basal cells before they leave the epithelium. The presence of cilia and microvilli on the surface of the sensory cells is discussed in relation to the physical conditions surrounding them.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 15 (1975), S. 393-411 
    ISSN: 1573-2878
    Keywords: Convexity ; control theory ; generalized control theory ; lower closure theorems ; calculus of variations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The theory of measurable set-valued mappings allows us to study some problems of optimal control in the framework of minimization of convex functionals and thus to obtain existence theorems. When the functionals are nonconvex, we obtain the existence theorems for control problems which are weakly perturbed from the initial one. In this regard, we specify some theorems of nonconvex optimization.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 15 (1975), S. 413-440 
    ISSN: 1573-2878
    Keywords: Existence theorems ; necessary conditions ; control theory ; linear systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The basic problem considered may be described briefly as follows. LetX,Y, andZ be normed linear spaces,T:D(T)→Y,S:D(S)→Z linear operators withD(T) $$ \subseteq$$ X andD(S) $$ \subseteq$$ X,Ω $$ \subseteq$$ X a convex set containing the zero elementθ, andJ a real-valued convex function defined onX×Y such that (i) J(x,y)⩾-0 for (x,y)teX×Y, (ii) J(θ,θ)=0, (iii) J(x,y)→+∞, as (∥x∥2+∥y∥2)1/2→+∞. Givenζ∈Y andη∈S[core T Ω∩;D(S)], find an elementx=x 0 which minimizesJ(x,ζ−Tx) on the set {x∈[Ω∩;D(S)∩;D(T)]:Sx=η}. The abovementioned problem, together with certain special cases, is analyzed using the classical techniques of functional analysis. Existence problems are considered for a certain class of closed linear operators. In particular, existence of an optimal solution is determined by evaluating a generalized Minkowski functional at the point (ζ,η) inY×Z. A necessary condition is presented for special cases, and corresponding characterizations of optimal solutions are made in terms of the adjoint operators. These results are applicable to linear minimum effort problems, constrained variational problems, optimal control of distributive systems, and certain ill-posed variational problems.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 15 (1975), S. 533-547 
    ISSN: 1573-2878
    Keywords: Decomposition methods ; large-scale systems ; calculus of variations ; control theory ; multidimensional control problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The search for the optimum control of complex static or dynamic processes according toconventional optimization methods involves many problems due, in particular, to the volume and complexity of calculations. And, as the dimensions of the systems studied increases steadily, even if a theoretical solution is still possible, an acceptable solution from the economic standpoint can no longer be hoped for. To overcome these difficulties, an effective means is certainly the introduction of multilevel optimization methods. The use of such a technique for a static optimization of complex systems has already been discussed, and the problems of dynamic optimization are dealt with here. As for static systems, three decomposition methods can be applied. The different tasks to which they lead are examined for each of the levels, and the stability of coordinators is studied.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 15
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 17 (1975), S. 273-278 
    ISSN: 1573-2878
    Keywords: Optimal control ; existence theorems ; control theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Using a recent result due to Berkovitz, we prove the existence of an optimal control in a broad class of problems, under relatively mild conditions.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 16
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 16 (1975), S. 539-548 
    ISSN: 1573-2878
    Keywords: Embedding theorems ; integral equations ; control theory ; state variable constraints
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, an embedding theorem is established for a system of nonlinear integral equations of the Volterra type. The main result is basic in the development of a maximum principle for an optimal control problem in which the state variables are determined as solutions to integral equations.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 17
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 16 (1975), S. 119-133 
    ISSN: 1573-2878
    Keywords: Structural optimization ; minimum-weight design ; control theory ; distributed parameter problems ; two-point boundary-value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents an application of two solution methods to the least-weight optimization of a simple sandwich beam with a frequency constraint. The first method, an adaptation of a numericalshooting technique used in optimal control, is found to give good results if unknown initial conditions can be reasonably approximated. The second method, a perturbation method used widely in theoretical mechanics and aerodynamics, yields approximate analytical expressions. These expressions can be used in turn to estimate starting values for the numerical technique. Converged numerical results are presented for a least-weight cantilever beam with fixed fundamental frequency and for a beam on simple supports with fixed fundamental frequency.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 18
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 15 (1975), S. 327-339 
    ISSN: 1573-2878
    Keywords: Education planning ; maximum principle ; control theory ; optimum investments
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper describes the application of the discrete maximum principle to the problem of the introduction of universal primary education.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 19
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 15 (1975), S. 347-359 
    ISSN: 1573-2878
    Keywords: Stochastic control theory ; existence of optimal stochastic controls ; stochastic optimization ; control theory ; stochastic differential equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper treats the problem of existence of optimal controls for a large class of delay-differential Itô equations, where the control is a nonanticipative measurable function of the trajectory (the case of complete information). The technique, which seems simpler than past approaches to the problem, requires the use of results on weak convergence of measures, and gives fairly general results. Control can be either over a fixed-time interval, or it can terminate when a target set is reached, and there can be additional (almost everywhere continuous) side constraints.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 20
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 17 (1975), S. 93-114 
    ISSN: 1573-2878
    Keywords: Controllability ; maximum principle ; nonlinear systems ; control theory ; bounded-state problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A controllability minimum principle and two associated transversality conditions are presented, dealing with the controllability of nonlinear systems. The theorems represent necessary conditions for a control function to generate a system path which lies in the boundary of the set of points that are controllable to a target. The theorems presented here are controllability counterparts to Pontryagin's maximum principle, and undoubtedly these results will seem familiar or may have occurred to other researchers in the area of optimal control. The purpose of this paper is to make the distinction explicit and to establish the validity of these controllability theorems on their own merits. The theorems are demonstrated using a simple example and the principal result (a controllability minimum principle) is shown to be equivalent to the Kalman controllability criterion for linear systems.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 21
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 17 (1975), S. 523-543 
    ISSN: 1573-2878
    Keywords: Controllability ; playability ; Lyapunov functions ; control theory ; differential games
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A dynamical system is assumed to be governed by a set of ordinary differential equations subject to control. The set of points in state space from which there exist permissible controls that can transfer these points to a prescribed target set in a finite time interval is called a capture set. The task of determining the capture set is studied in two contexts. first, in the case of the system subject to a single control vector; and second, in the case of the system subject to two control vectors each operated independently. In the latter case, it is assumed that one controller's aim is to cause the system to attain the target, and the other's is to prevent that from occurring. Sufficient conditions are developed that, when satisfied everywhere on the interior of some subset of the state space, ensure that this subset is truly a capture set. A candidate capture set is assumed to have already been predetermined by independent methods. The sufficient conditions developed herein require the use of an auxiliary scalar function of the state, similar to a Lyapunov function. To ensure capture, five conditions must be satisfied. Four of these constrain the auxiliary state function. Basically, these four conditions require that the boundary of the controllable set be an envelope of the auxiliary state function and that that function be positive inside the capture set, approaching zero value as the target set is approached. The final condition tests the inner product of the gradient of the auxiliary state function with the system state velocity vector. If the sign of that inner product can be made negative everywhere within the test subset, then that subset is a capture set.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 22
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 16 (1975), S. 303-325 
    ISSN: 1573-2878
    Keywords: Computing methods ; algorithms for optimal control ; finite difference methods ; differential equations ; control theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents eight algorithms for solving optimal control problems with general constraints on the control and inequality constraints on the terminal state. These algorithms are of the differential dynamic programming type and bear a strong kinship to nonlinear programming algorithms of the feasible direction type.
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
  • 23
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 16 (1975), S. 497-517 
    ISSN: 1573-2878
    Keywords: Bang-bang control ; time-optimal control ; switching surfaces ; multidimensional control problems ; control theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This article deals with bang-bang solutions of linear time-optimal control problems. Linear multivariable systems are considered which have one or more control components. It is shown in which way the control components act together to make the system achieve the ultimate aim (namely, the origin in the state space) as quickly as possible. The theory only applies to initial positions sufficiently near the origin. Criteria are given which give the number of switches per control component. Asymptotic dependences of the switching times and the final time on the distance of the initial position from the origin are established. The theory provides a numerical procedure to calculate the time-optimal control. These calculations are very simple. Basic to the proof of these results is a generalized implicit function theorem due to Artin (Ref. 1).
    Type of Medium: Electronic Resource
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...