Switching Robustness Analysis for Switched Linear Systems
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作者:
Peng, Yuping
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South China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510641, Guangdong, Peoples R China
Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, SingaporeSouth China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510641, Guangdong, Peoples R China
Peng, Yuping
[1
,2
]
Sun, Zhendong
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South China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510641, Guangdong, Peoples R ChinaSouth China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510641, Guangdong, Peoples R China
Sun, Zhendong
[1
]
Ge, Shuzhi Sam
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Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 117576, SingaporeSouth China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510641, Guangdong, Peoples R China
Ge, Shuzhi Sam
[2
]
机构:
[1] South China Univ Technol, Coll Automat Sci & Engn, Ctr Control & Optimizat, Guangzhou 510641, Guangdong, Peoples R China
This paper investigates the stability of switched linear systems with the perturbed switching. In premises of introducing the notions of common child-path and parent-path, we define distance between switching paths. A constructive procedure is proposed for finding common child-paths, then we reveal a relationship between common child-path and parent-path, and subsequently formulate the distance. Finally, distance between switching paths is extended to relative distance between switching signals, which is used to analyze the robustness for a class of switched linear systems.