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• W3138382208 abstract "This paper presents the input-to-state stability (ISS) of nonlinear singular systems (NSSs) based on the small-gain theorem of singular system. The major contribution of this paper includes three aspects. Firstly, give and prove the existence and unique conditions for the solution of NSS based on the fast-slow subsystem. Secondly, the conditions of ISS property for the NSSs are obtained via the small-gain theorem, and a method for constructing ISS-Lyapunov function of NSSs is presented. Thirdly, the theorems for input-to-state practical stability (ISpS) and the trajectory-based small-gain theorem of interconnected NSSs are proposed. Finally, the effectiveness of proposed method is illustrated by using a circuit network model and a numerical example." @default.
• W3138382208 created "2021-03-29" @default.
• W3138382208 creator A5041006270 @default.
• W3138382208 creator A5066553161 @default.
• W3138382208 date "2021-08-01" @default.
• W3138382208 modified "2023-09-24" @default.
• W3138382208 title "Input-to-state stability of the nonlinear singular systems via small-gain theorem" @default.
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• W3138382208 doi "https://doi.org/10.1016/j.amc.2021.126171" @default.
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