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  • 1
    Digitale Medien
    Digitale Medien
    Disturbance rejecting optimal regulation of hyperbolic systems (1995)
    Springer
    Mathematics of control, signals, and systems 8 (1995), S. 241-256 
    Details
    ISSN: 1435-568X
    Schlagwort(e): Robust control ; H ∞ control ; Disturbance rejection ; Hyperbolic systems ; Optimal control
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Elektrotechnik, Elektronik, Nachrichtentechnik , Mathematik , Technik allgemein
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01211861
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  • 2
    Digitale Medien
    Digitale Medien
    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
    Schlagwort(e): 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
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00933255
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  • 3
    Digitale Medien
    Digitale Medien
    Parameter identification for partially observed diffusions (1992)
    Springer
    Journal of optimization theory and applications 75 (1992), S. 33-50 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Nonlinear filtering ; likelihood ratio ; parameter identification ; optimal control ; distributed-parameter systems
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper, we consider the identification problem of drift and dispersion parameters for a class of partially observed systems governed by Ito equations. Using the pathwise description of the Zakai equation, we formulate the original identification problem as a deterministic control problem in which the unnormalized conditional density (solution of the Zakai equation) is treated as the state, the unknown parameters as controls, and the likelihood ratio as the objective functional. The question of existence of elements in the parameter set that maximize the likelihood ratio is discussed. Further, using variational arguments and the Gateaux differentiability of the unnormalized density on the parameter set, we obtain the necessary conditions for optimal identification.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00939904
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  • 4
    Digitale Medien
    Digitale Medien
    Optimal control of infinite-dimensional uncertain systems (1994)
    Springer
    Journal of optimization theory and applications 80 (1994), S. 261-272 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Uncertain evolution equations ; strongly nonlinear systems ; monotone operators ; optimal control ; existence of optimal controls
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02192935
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