Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
Place of PublicationGroningen
PublisherUniversity of Groningen
Pages776-783
Number of pages8
ISBN (Print)978-90-367-6321-9
StatePublished - 7 Jul 2014
Event21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands

Conference

Conference21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
Abbreviated titleMTNS
CountryNetherlands
CityGroningen
Period7/07/1411/07/14

Fingerprint

Linear systems
Linear dynamical systems
Geometric approach
Linear differential equation
Asymptotic stability
Dynamical system
Sufficient conditions
Coefficient

Keywords

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

Cite this

Vettori, P., Polderman, J. W., & Langerak, R. (2014). A geometric approach to stability of linear reset systems. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 (pp. 776-783). Groningen: University of Groningen.

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

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

Research output: Scientific - peer-reviewConference contribution

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Vettori, P, Polderman, JW & Langerak, R 2014, A geometric approach to stability of linear reset systems. in 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.

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

Research output: Scientific - peer-reviewConference contribution

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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.

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Vettori P, Polderman JW, Langerak R. A geometric approach to stability of linear reset systems. In Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014. Groningen: University of Groningen. 2014. p. 776-783.