Optimal control of semilinear evolution inclusions via discrete approximations
Boris Mordukhovich, Dong Wang (2005)
Control and Cybernetics
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Boris Mordukhovich, Dong Wang (2005)
Control and Cybernetics
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Azhmyakov, Vadim (2007)
Differential Equations & Nonlinear Mechanics
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Igor Bock, Ján Lovíšek (1992)
Applications of Mathematics
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We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.
Lovíšek, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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Florent Delmotte, Erik I. Verriest, Magnus Egerstedt (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we solve an optimal control problem using the calculus of variation. The system under consideration is a switched autonomous delay system that undergoes jumps at the switching times. The control variables are the instants when the switches occur, and a set of scalars which determine the jump amplitudes. Optimality conditions involving analytic expressions for the partial derivatives of a given cost function with respect to the control variables are derived using the calculus...
Nikolaos S. Papageorgiou (1995)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we study the minimax control of systems governed by a nonlinear evolution inclusion of the subdifferential type. Using some continuity and lower semicontinuity results for the solution map and the cost functional respectively, we are able to establish the existence of an optimal control. The abstract results are then applied to obstacle problems, semilinear systems with weakly varying coefficients (e.gȯscillating coefficients) and differential variational inequalities. ...