A geometric approach to stability of linear reset systems

Paolo Vettori; Jan W. Polderman; Romanus Langerak

A geometric approach to stability of linear reset systems

Paolo Vettori
, Jan W. Polderman
, Romanus Langerak

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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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 language	English
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
Publication status	Published - 7 Jul 2014
Event	21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014 - Groningen, Netherlands Duration: 7 Jul 2014 → 11 Jul 2014 Conference number: 21

Conference

Conference	21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014
Abbreviated title	MTNS
Country/Territory	Netherlands
City	Groningen
Period	7/07/14 → 11/07/14

Keywords

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

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title = "A geometric approach to stability of linear reset systems",

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.",

keywords = "MSC-93D20, Stability, EWI-25101, IR-93882, Linear systems, METIS-309587, Hybrid systems",

author = "Paolo Vettori and Polderman, \{Jan W.\} and Romanus Langerak",

note = "DOI and URL not yet known.; 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014, MTNS ; Conference date: 07-07-2014 Through 11-07-2014",

year = "2014",

month = jul,

day = "7",

language = "English",

isbn = "978-90-367-6321-9",

pages = "776--783",

booktitle = "Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014",

publisher = "University of Groningen",

address = "Netherlands",

}

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, 7/07/14. <http://eprints.eemcs.utwente.nl/secure2/25101/01/VetPolLang2014.pdf>

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: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A geometric approach to stability of linear reset systems

AU - Vettori, Paolo

AU - Polderman, Jan W.

AU - Langerak, Romanus

N1 - Conference code: 21

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

CY - Groningen

T2 - 21st International Symposium on Mathematical Theory of Networks and Systems, MTNS 2014

Y2 - 7 July 2014 through 11 July 2014

ER -

A geometric approach to stability of linear reset systems

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