Stability criteria for planar linear systems with state reset

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.

Preview

PDF
382Kb

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)
Research Group:	Mathematical Systems and Control Theory (MSCT) Formal Methods and Tools (FMT)
Link to this item:	http://purl.utwente.nl/publications/75742
Conference URL:	http://www.conferences.hu/mtns2010/
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page