A characterization of strongly invariant systems for a class of non-Lipschitz multifunctions

Document Type

Conference Proceeding

Publication Date

1-1-2003

Abstract

A characterization of strong invariance for a system that is the sum of a dissipative and a Lipschitz set-valued map is presented. The usual characterization of strong invariance require the data to be Lipschitz with respect to the Hausdorff metric. The malfunction is assumed to have nonempty, compact and convex values, to be upper semicontinuous, and to satisfy the one-sided Lipschitz (OSL) condition. It was concluded that the infinitesmall characterization for strong invariance in the Lipschitz case is no longer necessary for discontinuous F.

Publication Source (Journal or Book title)

Proceedings of the IEEE Conference on Decision and Control

First Page

2593

Last Page

2594

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