✦ LIBER ✦

Extremal Solutions of Evolution Inclusions Associated with Time Dependent Convex Subdifferentials

✍ Scribed by Nikolaos S. Papageorgiou

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 591 KB
Volume: 158
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19921580116

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✦ Synopsis

Abstract

In this paper first we establish the existence of extremal solutions for evolution inclusions driven by time dependent convex subdifferentials, and then show that they are dense for the topology of uniform convergence on T=[0, b] to the solutions of the original system. Then these results are applied to establish “bang‐bang” type results for some classes of nonlinear infinite dimensional control systems. A few examples are also presented.

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