Abstract: In this paper we study the approximation of the solutions to an optimal control problem with distributed parameters for the wave equation, let's say P, through solutions of a sequence of regularized problems P_epsilon. We consider both the finite and infinite time horizon case. We deduce convergence of the optimal pairs of P_epsilon to those of P, as epsilon tends to zero, by means of continuous dependence on data theorems for the associated integral/algebraic Riccati equations.

Singular perturbation for controlled wave equations / F. Bucci. - In: JOURNAL OF MATHEMATICAL SYSTEMS, ESTIMATION, AND CONTROL. - ISSN 1052-0600. - STAMPA. - 6:(1996), pp. 135-149.

Singular perturbation for controlled wave equations

BUCCI, FRANCESCA
1996

Abstract

Abstract: In this paper we study the approximation of the solutions to an optimal control problem with distributed parameters for the wave equation, let's say P, through solutions of a sequence of regularized problems P_epsilon. We consider both the finite and infinite time horizon case. We deduce convergence of the optimal pairs of P_epsilon to those of P, as epsilon tends to zero, by means of continuous dependence on data theorems for the associated integral/algebraic Riccati equations.
1996
6
135
149
F. Bucci
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/200160
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