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Passivity and stability of switched systems: A multiple storage function method
Authors:Jun Zhao  David J Hill  
Institution:aKey Laboratory of Integrated Automation of Process Industry, Ministry of Education, School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;bDepartment of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra ACT 0200, Australia
Abstract:This paper presents a concept of passivity for switched systems using multiple storage functions. This passivity property is invariant under compatible feedback interconnection. Branicky's stability theorem of multiple Lyapunov functions is generalized by relaxing the non-increasing condition on values of Lyapunov-like functions. Using this result we show that a passive switched system is stable in the sense of Lyapunov. Moreover, asymptotic stability is reached if all subsystems are asymptotically detectable.
Keywords:Switched systems  Passivity  Storage functions  Stability
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