Relations between Common Lyapunov Functions of Quadratic and Infinity-Norm Forms for a Set of Discrete-Time LTI Systems
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概要
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This paper studies the problem of the relations between existence conditions of common quadratic and those of common infinity-norm Lyapunov functions for sets of discrete-time linear time-invariant (LTI) systems. Based on the equivalence between the robust stability of a class of time-varying systems and the existence of a common infinity-norm Lyapunov function for the corresponding set of LTI systems, the relations are determined. It turns out that although the relation is an equivalent one for single stable systems, the existence condition of common infinity-norm type is strictly implied by that of common quadratic type for the set of systems. Several existence conditions of a common infinity-norm Lyapunov functions are also presented for the purpose of easy checking.
- 社団法人電子情報通信学会の論文
- 2006-06-01
著者
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Mori Yoshihiro
Department Of Physics Faculty Of Science Tokyo University Of Science
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Mori Yoshihiro
Department Of Chemistry Faculty Of Science Hokkaido University
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Viet Nguyen
Department Of Environmental Engineering Graduate School Of Engineering Osaka University
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Mori Yoshihiro
Kyoto Inst. Of Technol. Kyoto‐shi Jpn
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Nguyen Thang
Kyoto Institute Of Technology Electronics And Information Science Department
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Nguyen Thang
Department Of Obstetrics And Gynecology Osaka University Graduate School Of Medicine
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MORI Takehiro
Department of Organic and Polymeric Materials,Tokyo Institute of Technology
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Mori Takehiro
Kyoto Institute Of Technology Electronics And Information Science Department
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Mori Takehiro
Department Of Electronics & Information Science Kyoto Institute Of Technology
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グエン タン
Department of Electronics and Information Science, Kyoto Institute of Technology
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森 武宏
Department of Electronics and Information Science, Kyoto Institute of Technology
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森 禎弘
Department of Electronics and Information Science, Kyoto Institute of Technology
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