An approximation to discrete optimal feedback controls.
Zhu, Jinghao, Zou, Zhiqiang (2003)
International Journal of Mathematics and Mathematical Sciences
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Zhu, Jinghao, Zou, Zhiqiang (2003)
International Journal of Mathematics and Mathematical Sciences
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Francis Clarke (2005)
Control and Cybernetics
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J. Frédéric Bonnans, Audrey Hermant (2009)
Annales de l'I.H.P. Analyse non linéaire
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Francis H. Clarke, Ludovic Rifford, R. J. Stern (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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An optimal control problem is studied, in which the state is required to remain in a compact set . A control feedback law is constructed which, for given , produces -optimal trajectories that satisfy the state constraint universally with respect to all initial conditions in . The construction relies upon a constraint removal technique which utilizes geometric properties of inner approximations of and a related trajectory tracking result. The control feedback is shown to possess...
Cernea, Aurelian (2006)
Discrete Dynamics in Nature and Society
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Piotr Holnicki, Jan Sokołowski, Antoni Żochowski (1987)
Aplikace matematiky
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The convex optimal control problem for a system described by the parabolic equation is considered. The form of the right derivative of an optimal solution with respect to the parameter is derived. The applications to an air quality control problem are discussed. Numerical result are provided.