A Stability Result for Switched Systems with Multiple Equilibria

  title={A Stability Result for Switched Systems with Multiple Equilibria},
  author={Tansu Alpcan and Tamer Basar},
This paper studies stability properties of general switched systems with multiple distinct equilibria. It is shown that, if the dwell time of the switching events is greater than a certain lower bound, then the trajectory of a general switched system with multiple distinct equilibria, where each system is exponentially stable, globally converges to a superset of those equilibria and remains in that superset. 
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