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Published October 2016 | Submitted
Journal Article Open

Switched systems with multiple invariant sets

Abstract

This paper explores dwell time constraints on switched systems with multiple, possibly disparate invariant limit sets. We show that, under suitable conditions, trajectories globally converge to a superset of the limit sets and then remain in a second, larger superset. We show the effectiveness of the dwell-time conditions by using examples of switching limit cycles commonly found in robotic locomotion and flapping flight.

Additional Information

© 2016 Elsevier B.V. Received 7 October 2014, Revised 12 February 2016, Accepted 28 July 2016, Available online 18 August 2016. This work was supported in part by ARCS Illinois and National Science Foundation grants 1253758 & 1427111. The authors would like to thank a reviewer for providing the example used in Section 3.3 and for suggestions which substantially improved the paper.

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