July  1995, 1(3): 401-420. doi: 10.3934/dcds.1995.1.401

Optimal control problems with weakly converging input operators

1. 

Dipartimento di Matematica, Università di Pisa, via Buonarroti 2, 56127 Pisa

2. 

Dip. di Matematica e Informatica, Via delle Scienze, 206, 33100 UDINE, Italy

Received  May 1995 Published  May 1995

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.
Citation: Giuseppe Buttazzo, Lorenzo Freddi. Optimal control problems with weakly converging input operators. Discrete & Continuous Dynamical Systems - A, 1995, 1 (3) : 401-420. doi: 10.3934/dcds.1995.1.401
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