Estimation of the domain of attraction for discrete-time linear impulsive control systems with input saturation

This paper discusses the domain of attraction and stability analysis for discrete-time linear impulsive systems with input saturation. The first goal is to give a stable condition for the system. The second is to present a strategy to find an inner estimate of the domain of attraction via establishi...

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Bibliographic Details
Published in:Applied mathematics and computation 2019-12, Vol.362, p.124502, Article 124502
Main Authors: Shen, Zixiang, Li, Chuandong, Li, Hongfei, Cao, Zhengran
Format: Article
Language:English
Subjects:
Discrete-time linear system
Domain of attraction
Impulsive control
Input saturation
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Summary:This paper discusses the domain of attraction and stability analysis for discrete-time linear impulsive systems with input saturation. The first goal is to give a stable condition for the system. The second is to present a strategy to find an inner estimate of the domain of attraction via establishing Lyapunov functions and using other mathematical methods. Finally, we present several examples to illustrate the validity of the conditions we have derived.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2019.06.016