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18317 Stability criteria for planar linear systems with state reset

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Polenkova, S.V. and Polderman, J.W. and 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, 5-9 Jul 2010, Budapest. pp. 809-815. Eötvös Loránd University. ISBN 978-963-311-370-7

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Official URL: http://www.conferences.hu/mtns2010/

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.

Item Type:	Conference or Workshop Paper (Full Paper, Talk)
Research Group:	EWI-MSCT: Mathematical Systems and Control Theory, EWI-FMT: Formal Methods and Tools
Research Program:	CTIT-DSN: Dependable Systems and Networks
Research Project:	CLASHES: ControL and Analysis for the Stability of Hybrid and Embedded Systems
ID Code:	18317
Status:	Published
Deposited On:	19 January 2011
Refereed:	Yes
International:	Yes
More Information:	statistics metis

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