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  • 1
    Electronic Resource
    Electronic Resource
    Comments on a selector theorem in Banach spaces (1976)
    Springer
    Journal of optimization theory and applications 19 (1976), S. 117-118 
    Details
    ISSN: 1573-2878
    Keywords: Set-valued mappings ; selection theorem ; reflexive Banach spaces ; weakly compact sets ; Cesari's Q-property ; optimal control theory ; existence of optimal controls
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Recently, Cole (Ref. 1) presented a selection theorem in reflexive Banach spaces under certain convexity assumptions. In this paper, we present a proof of Cole's selection theorem without imposing the convexity condition. This makes the result more powerful for application in optimal control theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934055
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    Paper (German National Licenses)
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  • 2
    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
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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