Optimal control problems with weakly converging input operators

Giuseppe Buttazzo; Lorenzo Freddi

doi:10.3934/dcds.1995.1.401

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1995, Volume 1, Issue 3: 401-420. Doi: 10.3934/dcds.1995.1.401

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Optimal control problems with weakly converging input operators

Giuseppe Buttazzo^1, and
Lorenzo Freddi^2,

1.
Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, 56127 Pisa
2.
Dip. di Matematica e Informatica, Via delle Scienze, 206, 33100 UDINE

Received: May 1995

Published: July 1995

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Abstract

We study the variational convergence, as $\h \rightarrow \infty$, of a sequence of optimal control problems $(\mathcal{P}_h)$ with abstract state equations $A_h(y)=B_h(u)$, where $A_h$ are $G$-converging and the operators $B_h$ acting on the controls are supposed continuously converging, or nonlinear but local, or linear but possibly nonlocal.

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Mathematics Subject Classification: 49J45.

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