Admissible relaxation in optimal control problems for infinite dimensional uncertain systems.
Ahmed, N.U., Xiang, X. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “Optimal control of nonlinear second order evolution equations.”
Admissible relaxation in optimal control problems for infinite dimensional uncertain systems.
Necessary conditions of optimality for infinite dimensional uncertain systems.
Ahmed, N.U., Xiang, X. (1995)
Mathematical Problems in Engineering
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An existence theorem for a class of nonlinear elliptic optimal control problems
Nikolaos S. Papageorgiou (1991)
Commentationes Mathematicae Universitatis Carolinae
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We establish the existence of an optimal ``state-control'' pair for an optimal control problem of Lagrange type, monitored by a nonlinear elliptic partial equation involving nonmonotone nonlinearities.
Optimality conditions for systems driven by nonlinear evolution equations.
Papageorgiou, N. (1995)
Mathematical Problems in Engineering
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An existence theorem for differential inclusions on Banach space.
Ahmed, N.U. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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On the existence of optimal controls for nonlinear infinite dimensional systems
Antonella Fiacca, Nikolaos S. Papageorgiou, Francesca Papalini (1998)
Czechoslovak Mathematical Journal
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We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
The constructive approach on existence of time optimal controls of system governed by nonlinear equations on Banach spaces.
Wang, Jinrong, Xiang, X., Wei, W. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Extremal solutions to a class of multivalued integral equations in Banach space.
Aizicovici, Sergiu, Papageorgiou, Nikolaos S. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Optimal boundary control of distributed systems involving dynamic boundary conditions.
Kerbal, S., Ahmed, N.U. (1998)
Mathematical Problems in Engineering
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Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications
Noriaki Yamazaki (2009)
Banach Center Publications
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In this paper we consider optimal control problems for abstract nonlinear evolution equations associated with time-dependent subdifferentials in a real Hilbert space. We prove the existence of an optimal control that minimizes the nonlinear cost functional. Also, we study approximating control problems of our equations. Then, we show the relationship between the original optimal control problem and the approximating ones. Moreover, we give some applications of our abstract results. ...