Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative

This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the time-derivative of the Lyapunov function is not nec...

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Bibliographic Details
Published in:Complexity (New York, N.Y.) N.Y.), 2018-01, Vol.2018 (2018), p.1-8
Main Authors: Li, Peng, Cao, Jinde, Li, Xiaodi
Format: Article
Language:English
Subjects:
Automation
Control theory
Fuzzy sets
Liapunov functions
Locomotives
Methods
Nonlinear systems
Stability
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Summary:This paper studies the input-to-state stability (ISS) of nonlinear switched systems. By using Lyapunov method involving indefinite derivative and average dwell-time (ADT) method, some sufficient conditions for ISS are obtained. In our approach, the time-derivative of the Lyapunov function is not necessarily negative definite and that allows wider applications than existing results in the literature. Examples are provided to illustrate the applications and advantages of our general results and the proposed approach.
ISSN:1076-2787
1099-0526
DOI:10.1155/2018/8701219