articleSIAM ReviewJan 1, 2007Closed access

Stability Criteria for Switched and Hybrid Systems

RSRobert ShortenFWFabian WirthOMOliver MasonKWKai WulffCKChristopher King

National University of Ireland, Maynooth · University of Würzburg · +2 more institutions

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Abstract

The study of the stability properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. The objective of this paper is to outline some of these problems, to review progress made in solving them in a number of diverse
\ncommunities, and to review some problems that remain open. An important contribution of our work is to bring together material from several areas of research and to present results in a unified manner. We begin our review by relating the stability problem for switched linear systems and a class of linear differential inclusions. Closely related to the concept of stability are the notions of exponential growth rates and converse…

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Topics & keywords

Topics
Keywords
  • Lyapunov function
  • Converse
  • Mathematics
  • Constructive
  • Stability (learning theory)
  • Differential inclusion
  • Exponential stability
  • Linear system
UN Sustainable Development Goals
  • Reduced inequalities
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