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  • 1
    Electronic Resource
    Electronic Resource
    Optimal control of systems governed by a class of nonlinear evolution equations in a reflexive Banach space (1978)
    Springer
    Journal of optimization theory and applications 25 (1978), S. 57-81 
    Details
    ISSN: 1573-2878
    Keywords: Optimal control ; nonlinear evolution equations ; reflexive Banach spaces ; existence theorems ; time-optimal control ; Bolza problem ; terminal control ; velocity field ; set-valued map ; weak Cesari property
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper presents a closure theorem for the attainable trajectories of a class of control systems governed by a large class of nonlinear evolution equations in reflexive Banach spaces. Several existence theorems for optimal controls are proven that include a terminal control problem, a time-optimal control problem, and a special Bolza problem. Some results of independent interest are also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933255
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Finite-time null controllability for a class of linear evolution equations on a Banach space with control constraints (1985)
    Springer
    Journal of optimization theory and applications 47 (1985), S. 129-158 
    Details
    ISSN: 1573-2878
    Keywords: Linear evolution equations ; Banach spaces ; controllability ; constrained controls ; existence of time-optimal controls ; maximum principle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We present some necessary and sufficient conditions for null controllability for a class of general linear evolution equations on a Banach space with constraints on the control space. We also present a result on the existence of time-optimal controls and some partial results on the maximum principle. Some interesting insights that can be obtained from these results are discussed, and the paper is concluded with an application to a boundary control problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940766
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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