Journal
ASIAN JOURNAL OF CONTROL
Volume 16, Issue 2, Pages 461-468Publisher
WILEY
DOI: 10.1002/asjc.707
Keywords
Time-dependent switched systems; interval dwell time; quadratic Lyapunov function; system equivalence; mode incidence matrix
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Funding
- National Natural Science Foundation of China [51177137, 61134001]
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In this paper, a new approach for stability analysis of time-dependent switched linear systems is proposed. System equivalence is the main idea in this new approach, which derives a switched discrete linear parameter-varying system from the switched continuous-time linear switched system with interval dwell time, and the stability properties of the two corresponding systems are proved to be equivalent. Then, by applying a quadratic Lyapunov function approach for the equivalent switched discrete system, the stability of the switched continuous-time linear system can be established without checking any average dwell time condition. Finally the computation complexity is analyzed, and mode incidence matrix is introduced to reduce the computation cost.
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