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Properties of the reachable set of control systems

✍ Scribed by Tzanko Donchev

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
141 KB
Volume
46
Category
Article
ISSN
0167-6911

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✦ Synopsis

We investigate some properties of the reachable set of a control system. Representing the system as a di erential inclusion and using proximal Hamilton-Jacobi equation we describe its graph. We work in inΓΏnitely dimensional Hilbert space and use one sided Lipschitz approach. The funnel equation is considered in the last section. That equation describes the reachable set in arbitrary Banach space. We consider also the autonomous case and prove the existence of a limit of the reachable set.

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