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A New Approach For Stability Analysis Of Time‐Dependent Switched Continuous‐Time Linear Systems
Author(s) -
Xiang Weiming,
Xiao Jian,
Han Lu
Publication year - 2014
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.707
Subject(s) - dwell time , control theory (sociology) , linear system , mathematics , computation , lyapunov function , discrete time and continuous time , equivalence (formal languages) , stability (learning theory) , quadratic equation , computer science , nonlinear system , algorithm , mathematical analysis , discrete mathematics , medicine , clinical psychology , statistics , physics , geometry , control (management) , quantum mechanics , artificial intelligence , machine learning
Abstract 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.