Stability criteria for planar linear systems with state reset

Svetlana Polenkova; Jan W. Polderman; Romanus Langerak

Stability criteria for planar linear systems with state reset

Svetlana Polenkova
, 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 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
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
Abbreviated title	MTNS
Country/Territory	Hungary
City	Budapest
Period	5/07/10 → 9/07/10

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@inproceedings{15d57207c4d74e0caf6eb90385ae9a66,

title = "Stability criteria for planar linear systems with state reset",

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.",

author = "Svetlana Polenkova and Polderman, \{Jan W.\} and Romanus Langerak",

year = "2010",

language = "English",

isbn = "978-963-311-370-7",

pages = "809--815",

booktitle = "Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010",

publisher = "E{\"o}tv{\"o}s Lor{\'a}nd University",

note = "19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010, MTNS ; Conference date: 05-07-2010 Through 09-07-2010",

}

Polenkova, S, Polderman, JW & 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. Eötvös Loránd University, Budapest, pp. 809-815, 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010, Budapest, Hungary, 5/07/10. <http://www.conferences.hu/mtns2010/>

Stability criteria for planar linear systems with state reset. / Polenkova, Svetlana; Polderman, Jan W.; Langerak, Romanus.
Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010. Budapest: Eötvös Loránd University, 2010. p. 809-815.

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

TY - GEN

T1 - Stability criteria for planar linear systems with state reset

AU - Polenkova, Svetlana

AU - Polderman, Jan W.

AU - Langerak, Romanus

N1 - Conference code: 19

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Conference contribution

SN - 978-963-311-370-7

SP - 809

EP - 815

BT - Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems - MTNS 2010

PB - Eötvös Loránd University

CY - Budapest

T2 - 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010

Y2 - 5 July 2010 through 9 July 2010

ER -

Stability criteria for planar linear systems with state reset

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