Abstract
In this work we perform a stability analysis for a class of switched linear systems, modeled as hybrid automata. We deal with a switched linear planar system, modeled by a hybrid automaton with one discrete state. We assume the guard on the transition is a line in the state space and the reset map is a linear projection onto the x-axis. We define necessary and sufficient conditions for stability of the switched linear system with fixed and arbitrary dynamics in the location.
Original language | English |
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Title of host publication | Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010 |
Place of Publication | Budapest |
Publisher | Eötvös Loránd University |
Pages | 809-815 |
Number of pages | 7 |
ISBN (Print) | 978-963-311-370-7 |
Publication status | Published - 2010 |
Event | 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 - Budapest, Hungary Duration: 5 Jul 2010 → 9 Jul 2010 Conference number: 19 |
Conference
Conference | 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010 |
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Abbreviated title | MTNS |
Country/Territory | Hungary |
City | Budapest |
Period | 5/07/10 → 9/07/10 |