This paper investigates the input-to-state stability (ISS) for the switched nonlinear system (SNS) under edge-dependent switching signals, which consists of both ISS and non-ISS subsystems. Sufficient conditions ensuring the ISS properties of the SNS are proposed, which indicate that the switched system is ISS if the edge-dependent average dwell time is large enough and the activation time of non-ISS subsystems is comparatively small. The established criterion is quite general and makes an improvement compared with the existing related results. A numerical example and a chemical process are provided to illustrate the advantage and effectiveness of the theoretical result.
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This work was supported by the Project 62073181 from National Natural Science Foundation of China, Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents and Nantong 226 High-level Talents Project. The work of Xiaoqing Xiao was also supported by China Scholarship Council (CSC NO. 201908320096).
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Zhou, L., Xiao, X. New Input-to-State Stability Condition for Continuous-Time Switched Nonlinear Systems. Circuits Syst Signal Process (2021). https://doi.org/10.1007/s00034-021-01845-z
- Switched nonlinear system
- Input-to-state stability
- Edge-dependent average dwell time