Asymptotic behaviour of optimal solutions of control problems governed by inclusions

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October 1998, 4(4): 641-652. doi: 10.3934/dcds.1998.4.641

Asymptotic behaviour of optimal solutions of control problems governed by inclusions

1.	Institute of Computer Science, Jagiellonian University, Nawojki 11, 30-072 Kraków, Poland

Received November 1997 Published July 1998

Abstract
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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.

Keywords: $\Gamma$-convergence of cost functionals., Multivalued input operators, asymptotics of optimal solutions, $G$-convergence of abstract operators.

Mathematics Subject Classification: 49J24, 49J4.

Citation: Maciej Smołka. Asymptotic behaviour of optimal solutions of control problems governed by inclusions. Discrete & Continuous Dynamical Systems - A, 1998, 4 (4) : 641-652. doi: 10.3934/dcds.1998.4.641

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