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On the reachable sets in linear systems

On the reachable sets in linear systems We consider the finite-dimensional linear control system, with minimal assumptions concerning the control restraint set Ω. Specifically, we consider the set of reachable states and conclude that as far as controllability is concerned, Ω can be replaced by convhull(Ω). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

On the reachable sets in linear systems

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References (3)

Publisher
Springer Journals
Copyright
Copyright © 1979 by Springer-Verlag New York Inc.
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/BF01442545
Publisher site
See Article on Publisher Site

Abstract

We consider the finite-dimensional linear control system, with minimal assumptions concerning the control restraint set Ω. Specifically, we consider the set of reachable states and conclude that as far as controllability is concerned, Ω can be replaced by convhull(Ω).

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Mar 23, 2005

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