### 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 | Hungary |

City | Budapest |

Period | 5/07/10 → 9/07/10 |

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## Cite this

Polenkova, S., Polderman, J. W., & Langerak, R. (2010). Stability criteria for planar linear systems with state reset. In

*Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010*(pp. 809-815). Budapest: Eötvös Loránd University.