### Abstract

Original language | English |
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Title of host publication | Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 |

Place of Publication | Groningen |

Publisher | University of Groningen |

Pages | 776-783 |

Number of pages | 8 |

ISBN (Print) | 978-90-367-6321-9 |

State | Published - 7 Jul 2014 |

Event | 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands |

### Conference

Conference | 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 |
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Abbreviated title | MTNS |

Country | Netherlands |

City | Groningen |

Period | 7/07/14 → 11/07/14 |

### Fingerprint

### Keywords

- MSC-93D20
- Stability
- EWI-25101
- IR-93882
- Linear systems
- METIS-309587
- Hybrid systems

### Cite this

*Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014*(pp. 776-783). Groningen: University of Groningen.

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*Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014.*University of Groningen, Groningen, pp. 776-783, 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014, Groningen, Netherlands, 7-11 July.

**A geometric approach to stability of linear reset systems.** / Vettori, Paolo; Polderman, Jan W.; Langerak, Romanus.

Research output: Scientific - peer-review › Conference contribution

TY - CHAP

T1 - A geometric approach to stability of linear reset systems

AU - Vettori,Paolo

AU - Polderman,Jan W.

AU - Langerak,Romanus

N1 - DOI and URL not yet known.

PY - 2014/7/7

Y1 - 2014/7/7

N2 - In this paper, a class of linear dynamical systems, called linear reset systems, is studied from a geometric point of view. Their state satisfies a system of linear differential equations (with constant coefficients) but they are provided with a mechanism which resets the state when a certain condition is met. In particular, when the dynamical system without reset is stable, sufficient conditions on the reset structure are given, which guarantee asymptotic stability of the corresponding reset system.

AB - In this paper, a class of linear dynamical systems, called linear reset systems, is studied from a geometric point of view. Their state satisfies a system of linear differential equations (with constant coefficients) but they are provided with a mechanism which resets the state when a certain condition is met. In particular, when the dynamical system without reset is stable, sufficient conditions on the reset structure are given, which guarantee asymptotic stability of the corresponding reset system.

KW - MSC-93D20

KW - Stability

KW - EWI-25101

KW - IR-93882

KW - Linear systems

KW - METIS-309587

KW - Hybrid systems

M3 - Conference contribution

SN - 978-90-367-6321-9

SP - 776

EP - 783

BT - Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014

PB - University of Groningen

ER -