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doi:10.1016/0022-247X(76)90110-4 
Copyright © 1976 Published by Elsevier Inc.
Ω-Invariance in control systems with bounded controls
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Submitted by J. L. Lions
Available online 30 June 2004.
Abstract
The concepts of weakly Ω-invariant sets and strictly weakly Ω-invariant sets in control systems with bounded controls are defined and analyzed. Computable conditions for weak Ω-invariance are derived, and the question of existence of rest points and stationary points in weakly Ω-invariant sets is considered. For linear dynamics, properties of weakly Ω-invariant sets are studied, and questions of constrained reachability are investigated.
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* Presently at Department of Engineering and Applied Science, Yale University, New-Haven, Connecticut 06520.
