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Constructive Necessary and Sufficient Condition for the Stability of Quasi-Periodic Linear Impulsive Systems.
- Source :
-
IEEE Transactions on Automatic Control . Sep2016, Vol. 61 Issue 9, p2512-2517. 6p. - Publication Year :
- 2016
-
Abstract
- The technical note provides a computation-oriented necessary and sufficient condition for the global exponential stability of linear impulsive systems, whose impulsions are assumed to occur quasi-periodically. Based on the set-theoretic conditions for robust stability of uncertain linear systems, the existence of polyhedral Lyapunov functions is proved to be necessary and sufficient for global exponential stability of quasi-periodic linear impulsive systems. A constructive method is developed for testing the stability of the system and for computing set-induced polyhedral Lyapunov functions. The method leads to an algorithm whose complexity is similar to the standard algorithm related to discrete-time parametric uncertain systems with the state matrix belonging to a convex polytopic set. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 61
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 117759476
- Full Text :
- https://doi.org/10.1109/TAC.2015.2496792