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Title: Dwell time for switched systems with multiple equilibria on a finite time-interval
We describe the behavior of solutions of switched systems with multiple globally exponentially stable equilibria. We introduce an ideal attractor and show that the solutions of the switched system stay in any given epsilon-inflation of the ideal attractor if the frequency of switchings is slower than a suitable dwell time T. In addition, we give conditions to ensure that the epsilon-inflation is a global attractor. Finally, we investigate the effect of the increase of the number of switchings on the total time that the solutions need to go from one region to another.  more » « less
Award ID(s):
1436856
PAR ID:
10085979
Author(s) / Creator(s):
Date Published:
Journal Name:
Dynamics of continuous, discrete and impulsive systems
Volume:
25
Issue:
1
ISSN:
1201-3390
Page Range / eLocation ID:
1-14
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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