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  • existence of optimal controls  (2)
  • Flexible spacecraft  (1)
  • Hyperbolic systems  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Disturbance rejecting optimal regulation of hyperbolic systems (1995)
    Springer
    Mathematics of control, signals, and systems 8 (1995), S. 241-256 
    Details
    ISSN: 1435-568X
    Keywords: Robust control ; H ∞ control ; Disturbance rejection ; Hyperbolic systems ; Optimal control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology
    Notes: Abstract Optimal regulation of hyperbolic systems in the presence of unknown exogenous and initial disturbances is considered. Necessary conditions for determining the optimal control that tracks a desired trajectory in the presence of disturbances are developed. These necessary conditions have the form of a twopoint boundary-value problem along with certain equality and inequality conditions. The results also characterize the worst possible disturbances that are accommodated by the optimum controller without any serious performance degradation. Numerical results on the control of a vibrating beam are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01211861
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    Paper (German National Licenses)
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  • 2
    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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  • 3
    Electronic Resource
    Electronic Resource
    Optimal control of infinite-dimensional uncertain systems (1994)
    Springer
    Journal of optimization theory and applications 80 (1994), S. 261-272 
    Details
    ISSN: 1573-2878
    Keywords: Uncertain evolution equations ; strongly nonlinear systems ; monotone operators ; optimal control ; existence of optimal controls
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we consider a minimax problem of optimal control for a class of strongly nonlinear uncertain evolution equations on a Banach space. We prove the existence of optimal controls. A nontrivial example of a class of systems governed by a nonlinear partial differential equation with uncertain spatial parameters is presented for illustration.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192935
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Stabilization of a class of hybrid systems arising in flexible spacecraft (1986)
    Springer
    Journal of optimization theory and applications 50 (1986), S. 83-108 
    Details
    ISSN: 1573-2878
    Keywords: Flexible spacecraft ; dynamic modelling ; coupled systems of ordinary and partial differential equations ; system stabilization ; Lyapunov's functionals ; feedback control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the problem of rigorous modelling of flexible spacecraft and their stabilization. It is shown that the dynamics of the flexible spacecraft can be described by a coupled system of ordinary differential equations and partial differential equations (hybrid system). Lyapunov's approach is used to prove the stabilizability of the system. Simple feedback controls are suggested for stabilization of flexible spacecraft.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00938479
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    Paper (German National Licenses)
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