ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

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

Proceed reservation?

Export
Filter
  • Articles  (31)
  • Articles: DFG German National Licenses  (31)
  • Optimal control  (31)
  • 2020-2024
  • 1985-1989  (31)
  • Mathematics  (31)
Collection
  • Articles  (31)
Source
  • Articles: DFG German National Licenses  (31)
Keywords
Publisher
Years
Year
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Pontryagin's principle for control problems in age-dependent population dynamics (1985)
    Springer
    Journal of mathematical biology 23 (1985), S. 75-101 
    Details
    ISSN: 1432-1416
    Keywords: Population dynamics ; Optimal harvesting ; Optimal control ; Hyperbolic systems ; Pontryagin's principle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In this paper, Pontryagin's principle is proved for a fairly general problem of optimal control of populations with continuous time and age variable. As a consequence, maximum principles are developed for an optimal harvesting problem and a problem of optimal birth control.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276559
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Existence of an optimal control with sparse jumps in the state variable (1985)
    Springer
    Journal of optimization theory and applications 45 (1985), S. 265-293 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; control differential systems involving impulses ; jumps in the state variables
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The existence of an optimal control is proved in a problem where the criterion functional and the equation of motion contain a control that is a Lebesgue-Stieltjes measure. Due to nonlinearities in the problem, it is necessary to postulate a condition implying that large atoms of the control measures are sparse and that their derivatives, wherever they exist, have a uniform bound.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939981
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    A class of nondifferentiable control problems (1988)
    Springer
    Journal of optimization theory and applications 56 (1988), S. 227-243 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; nondifferentiable control problems ; optimality conditions ; Fritz John optimality conditions ; duality ; converse duality ; continuous programming ; mathematical programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Optimality conditions and duality results are obtained for a class of control problems having a nondifferentiable term in the integrand of the objective functional. These results generalize many well-known results in optimal control theory involving differentiable functions, and also provide a relationship with certain nondifferentiable mathematical programming problems. Some extensions concerning the unified treatment of optimal control theory and continuous programming are also mentioned. Finally, a control problem containing an arbitrary norm, along with its appropriate norm, is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939409
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Differential sensitivity of solutions of convex constrained optimal control problems for discrete systems (1987)
    Springer
    Journal of optimization theory and applications 53 (1987), S. 429-449 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; discrete systems ; convex problems ; state and control constraints ; sensitivity analysis ; right-differentiability with respect to a parameter
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A family of optimal control problems for discrete systems that depend on a real parameter is considered. The problems are strongly convex and subject to state and control constraints. Some regularity conditions are imposed on the constraints. The control problems are reformulated as mathematical programming problems. It is shown that both the primal and dual optimal variables for these problems are right-differentiable functions of a parameter. The right-derivatives are characterized as solutions to auxiliary quadratic control problems. Conditions of continuous differentiability are discussed, and some estimates of the rate of convergence of the difference quotients to the respective derivatives are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00938948
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Decentralized optimum load frequency control of interconnected power systems (1985)
    Springer
    Journal of optimization theory and applications 45 (1985), S. 517-531 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; parameter optimization ; power systems ; load frequency control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new approach for designing a linear regulator for the problem of load frequency control (LFC) of interconnected power systems is developed. The control is specified to be of proportional-plus-integral (P-I) form and is only a function of the measurable states. The LFC problem is formulated as a parameter optimization problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939132
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    On the optimality of the logistic growth (1988)
    Springer
    Journal of optimization theory and applications 57 (1988), S. 513-517 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; population growth ; logistic equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The rate at which a population should grow is determined by finding the best trade-off between the loss due to the deviation from a target population size and the loss associated to the growing effort. It is also shown that, in the case of infinite-time horizon and quadratic loss functions, the optimal growth is logistic.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02346168
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    On the use of Hamiltonian and maximized Hamiltonian in nondifferentiable control theory (1985)
    Springer
    Journal of optimization theory and applications 46 (1985), S. 493-504 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; envelope theorem ; differential inclusions ; nondifferentiable functions ; production-employment model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In optimal control problems involving nondifferentiable functions of the state variable, the adjoint differential inclusion can be formulated by either use of the Hamiltonian or the maximized Hamiltonian. In this paper, we solve a production-employment model in which the latter approach must be utilized, since the former does not enable one to determine the optimal policy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939154
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Control problems with random and progressively known targets (1988)
    Springer
    Journal of optimization theory and applications 59 (1988), S. 445-465 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; linear-quadratic systems ; unknown targets ; points of information
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The situation considered is of optimally controlling a deterministic system from a given state to an initially unknown targety in a fixed time interval [T 0,T]. The target will be certainly known at a random time τ in [T 0,T]. The controller knows the distributions ofy and τ. We derive the Bellman equation for the problem, prove a verification theorem for it, and demonstrate how the distribution τ influences the optimal control. We show that, in the linear-quadratic case, the optimal control is given by a feedback law that does not depend on the distribution of τ.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940309
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Numerical approximation of nonconvex optimal control problems defined by parabolic equations (1985)
    Springer
    Journal of optimization theory and applications 45 (1985), S. 73-88 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; nonconvexity ; relaxed controls ; parabolic systems ; relaxed minimum principle ; approximations ; descent methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we consider an optimal control problem for distributed systems governed by parabolic equations. The state equations are nonlinear in the control variable; the constraints and the cost functional are generally nonconvex. Relaxed controls are used to prove existence and derive necessary conditions for optimality. To compute optimal controls, a descent method is applied to the resulting relaxed problem. A numerical method is also given for approximating a special class of relaxed controls, notably those obtained by the descent method. Convergence proofs are given for both methods, and a numerical example is provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940814
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    Optimal load frequency control with governor backlash (1985)
    Springer
    Journal of optimization theory and applications 45 (1985), S. 505-516 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; parameter optimization ; power systems ; load frequency control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A new technique is described for designing an optimal controller for a system whose dynamical equations contain a backlash element. The approach is applied to the problem of load frequency control (LFC) of a single area steam power system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939131
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...