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Impulse differential inclusions: A viability approach to hybrid systems (2002)
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| Venue: | IEEE Transactions on Automatic Control |
| Citations: | 49 - 7 self |
BibTeX
@ARTICLE{Aubin02impulsedifferential,
author = {Jean-pierre Aubin and John Lygeros and Marc Quincampoix and Shankar Sastry and Nicolas Seube},
title = {Impulse differential inclusions: A viability approach to hybrid systems},
journal = {IEEE Transactions on Automatic Control},
year = {2002},
volume = {47},
pages = {2--20}
}
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Abstract
Abstract. Impulse differential inclusions are introduced as a framework for modelling hybrid phenomena. Connections to standard problems in area of hybrid systems are discussed. Conditions are derived that allow one to determine whether a set of states is viable or invariant under the action of an impulse differential inclusion. For sets that violate these conditions, methods are developed for approximating their viability and invariance kernels, that is the largest subset that is viable or invariant under the action of the impulse differential inclusion. The results are demonstrated on examples. 1.
