This paper generalises a Lyapunov based control strategy, developed in [4], which stabilises a switched linear system consisting of a pair of sub-systems, to a system consisting of arbitrarily many sub-systems. It is shown that the existence of a stable convex combination of the system matrices is a sufficient condition for the proposed control law to stabilise the switched system. Three examples are given of the proposed control law stabilising a system.
机构:
School of Mathematics and Statistics, Guizhou University, Guiyang,550025, ChinaSchool of Mathematics and Statistics, Guizhou University, Guiyang,550025, China
Zhou, Yusheng
Chen, Danhong
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School of Mathematics and Statistics, Guizhou University, Guiyang,550025, ChinaSchool of Mathematics and Statistics, Guizhou University, Guiyang,550025, China
机构:
Univ Lille 1 Sci & Technol, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, France
INRIA Lille Nord Europe, NonA, Villeneuve Dascq, FranceUniv Lille 1 Sci & Technol, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, France
Kader, Zohra
Fiter, Christophe
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Univ Lille 1 Sci & Technol, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, FranceUniv Lille 1 Sci & Technol, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, France
Fiter, Christophe
Hetel, Laurentiu
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Ecole Cent Lille, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, FranceUniv Lille 1 Sci & Technol, CRIStAL, CNRS, UMR 9189, Villeneuve Dascq, France
机构:
Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R ChinaUniv Jinan, Sch Math Sci, Jinan 250022, Peoples R China
Ju, Yanhao
Sun, Yuangong
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Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
Qufu Normal Univ, Inst Automat, Qufu 273165, Shandong, Peoples R ChinaUniv Jinan, Sch Math Sci, Jinan 250022, Peoples R China