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.File | Dimensione | Formato | |
---|---|---|---|
1994-1996-jmsec_singularperturbation.pdf
accesso aperto
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Open Access
Dimensione
205.39 kB
Formato
Adobe PDF
|
205.39 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.