A+ CATEGORY SCIENTIFIC UNIT

Singular perturbations for systems of differential inclusions

Volume 32 / 1995

Marc Quincampoix Banach Center Publications 32 (1995), 341-348 DOI: 10.4064/-32-1-341-348

Abstract

We study a system of two differential inclusions such that there is a singular perturbation in the second one. We state new convergence results of solutions under assumptions concerning contingent derivative of the perturbed inclusion. These results state that there exists at least one family of solutions which converges to some solution of the reduced system. We extend this result to perturbed systems with state constraints.

Authors

  • Marc Quincampoix

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