Stability criteria for planar linear systems with state reset


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Polenkova, Svetlana and Polderman, Jan Willem and Langerak, Rom (2010) Stability criteria for planar linear systems with state reset. In: 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010, 5-9 July 2010, Budapest, Hungary (pp. pp. 809-815).

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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.
Item Type:Conference or Workshop Item
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/75742
Conference URL:http://www.conferences.hu/mtns2010/
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