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  • 1
    Electronic Resource
    Electronic Resource
    The reality of fluid-wave resonance frequencies on a cylindrical shell (2000)
    Springer
    Acta mechanica 141 (2000), S. 117-123 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The existence of a unique axisymmetric non-radiating surface wave near a cylindrical elastic shell submerged in a fluid and described by Kennard's model is proved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176811
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  • 2
    Electronic Resource
    Electronic Resource
    On controllability of systems of the form $$\dot x$$ =A(t)x+g(t, u) (1973)
    Springer
    Journal of optimization theory and applications 11 (1973), S. 132-138 
    Details
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In an earlier paper, the author established a sufficient condition for controllability of systems of the form $$\dot x$$ =A(t)x+g(t, u). This condition is a growth condition which generalizes the concept of an asymptotically proper system introduced by LaSalle for linear systems. The purpose of this paper is examine and apply this growth condition. We first show that the condition is also necessary for controllability. Then, we use these results to consider the controllability of perturbations of the above system. The main result of the paper is a class of systems which in many applications can be assumed to be controllable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935878
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  • 3
    Electronic Resource
    Electronic Resource
    Controllability of nonlinear systems via fixed-point theorems (1987)
    Springer
    Journal of optimization theory and applications 53 (1987), S. 345-352 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; nonlinear systems ; fixed-point theorems ; delay systems ; Schauder's fixed-point theorem ; perturbed linear systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This article presents a survey of papers published on controllability of nonlinear systems, including nonlinear delay systems, by means of fixed-point principles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00938943
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  • 4
    Electronic Resource
    Electronic Resource
    Asymptotic null controllability of nonlinear perturbed systems (1994)
    Springer
    Journal of optimization theory and applications 83 (1994), S. 167-179 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; nonlinear systems ; perturbations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, sufficient conditions are obtained for the asymptotic null controllability of the system $$\dot x(t) = g(t,x(t)) + B(t,x(t))u(t) + f(t,x(t),u(t)).$$ The results are obtained by using the Leray-Schauder fixed-point theorem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02191767
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  • 5
    Electronic Resource
    Electronic Resource
    Local null controllability of nonlinear functional differential systems in Banach space (1996)
    Springer
    Journal of optimization theory and applications 88 (1996), S. 61-75 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; nonlinear functional differntial systems ; Schauder fixed-point theorem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Sufficient conditions for the local null controllability of non-linear functional differential systems with unbounded linear operators in Banach space are established. The results are obtained using the semigroup of linear operators, fractional powers of operators, and the Schauder fixed-point theorem. Applications to parabolic differential systems are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192022
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  • 6
    Electronic Resource
    Electronic Resource
    Optimization over the efficient set using an active constraint approach (1991)
    Springer
    Mathematical methods of operations research 35 (1991), S. 185-195 
    Details
    ISSN: 1432-5217
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract In this work the problem of maximizing a nonlinear objective over the set of efficient solutions of a multicriteria linear program is considered. This is a nonlinear program with nonconvex constraints. The approach is to develop an active constraint algorithm which utilizes the fact that the efficient structure in decision space can be associated in a natural way with hyperplanes in the space of objective values. Examples and numerical experience are included.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01415906
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  • 7
    Electronic Resource
    Electronic Resource
    Controllability of nonlinear delay systems (1977)
    Springer
    Journal of optimization theory and applications 21 (1977), S. 59-70 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; delay systems ; nonlinear systems ; perturbations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A necessary and sufficient condition for complete controllability of differential systems with delay is proved, which extends analogous results for usual differential systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932544
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  • 8
    Electronic Resource
    Electronic Resource
    Mathematical programming techniques in majorization (1978)
    Springer
    Journal of optimization theory and applications 25 (1978), S. 361-373 
    Details
    ISSN: 1573-2878
    Keywords: Mathematical programming ; majorization ; goal programming ; assignment problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we are concerned with mathematical programs which construct nonmajorizing vectors for several specific majorization applications. In particular, we develop a linear integer program and two integer goal programs which solve the assignment majorization problem. We also develop a quadratic program for solving majorization problems which arise in probability and statistics. In the appendix, we present a general goal-programming algorithm for these, as well as others, goal programs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00932899
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  • 9
    Electronic Resource
    Electronic Resource
    Controllability of nonlinear integrodifferential systems in Banach space (1995)
    Springer
    Journal of optimization theory and applications 84 (1995), S. 83-91 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; nonlinear systems ; integrodifferential systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Sufficient conditions for controllability of nonlinear integrodifferential systems in a Banach space are established. The results are obtained using the Schauder fixed-point theorem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02191736
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  • 10
    Electronic Resource
    Electronic Resource
    A survey of vector optimization in infinite-dimensional spaces, part 2 (1986)
    Springer
    Journal of optimization theory and applications 51 (1986), S. 205-241 
    Details
    ISSN: 1573-2878
    Keywords: Survey papers ; vector maximum problems ; multicriteria optimization ; partially ordered vector spaces ; abstract optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The present survey deals with the state of vector optimization as a mathematical discipline. In this context, the optima are generally defined as maximal pointsy 0 with respect to a partial order on the criteria space. The survey is restricted to a discussion of that literature which deals with pointsy 0 which satisfy a maximality condition with respect toy 0-comparable criteria values; papers which are based on a maximality condition satisfied for all admissible criteria values are included only in a supplementary bibliography. For the former, all aspects of the optimization process are surveyed, ranging from questions of existence to the treatment of duality. Particular attention is paid to questions of proper maximality. The discussion is based on a broad range of definitions and selected theorems from the literature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939823
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