Finite‐time stability analysis of a class of discrete‐time switched nonlinear systems with partial finite‐time unstable modes

Plenty of research achievements on finite‐time stability of discrete‐time switched systems have been reported; however, there are a few results referred to finite‐time unstable subsystems. The design of the average dwell time was not considered alone for finite‐time unstable subsystems in the existi...

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Vydáno v:Asian journal of control Ročník 24; číslo 1; s. 309 - 319
Hlavní autoři: Gao, Zairui, Wang, Ziyun, Wu, Xiaojin, Wang, Wencheng, Liu, Yunlong
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Wiley Subscription Services, Inc 01.01.2022
Témata:
discrete‐time switched nonlinear systems
Dwell time
finite‐time stability
Iterative methods
Linear systems
mode‐dependent average dwell time
multiple Lyapunov‐like functions
Nonlinear systems
Stability analysis
Subsystems
ISSN:1561-8625, 1934-6093
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Shrnutí:Plenty of research achievements on finite‐time stability of discrete‐time switched systems have been reported; however, there are a few results referred to finite‐time unstable subsystems. The design of the average dwell time was not considered alone for finite‐time unstable subsystems in the existing literature. The problems of finite‐time stability and finite‐time boundedness are investigated respectively for a class of discrete‐time switched nonlinear systems with partial finite‐time unstable modes. By using multiple Lyapunov‐like functions, sufficient conditions are derived respectively to ensure that such systems are finite‐time stable and finite‐time bounded based on an improved mode‐dependent average dwell time and iteration technique. Depending on the above results, sufficient conditions, which can guarantee discrete‐time switched linear systems finite‐time stable and finite‐time bounded, are obtained respectively by using matrix inequalities. Finally, numerical examples are given to verify the effectiveness of the proposed methods.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2465