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Asymptotic behaviour of optimal solutions of control problems governed by inclusions
We study the convergence (as $h \rightarrow \infty$) of solutions of control
problems $(CP_h)$ governed by inclusions $A_h(y) \in B_h(u)$, where the
sequence of abstract operators $A_h$ is $G$-convergent. We are especially
interested in finding an explicit form of the limit problem for $(CP_h)$.
This is done by means of the theory of $\Gamma$-convergence.