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New Input-to-State Stability Condition for Continuous-Time Switched Nonlinear Systems

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Abstract

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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Data Availability Statement

Data sharing is not applicable to this article as no new data were created or analyzed in this study.

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Funding

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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  1. School of Information Science and Technology, Nantong University, Nantong, Jiangsu, 226019, China

    Lei Zhou & Xiaoqing Xiao

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  1. Lei Zhou
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  2. Xiaoqing Xiao
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Correspondence to Xiaoqing Xiao.

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Zhou, L., Xiao, X. New Input-to-State Stability Condition for Continuous-Time Switched Nonlinear Systems. Circuits Syst Signal Process 41, 1389–1405 (2022). https://doi.org/10.1007/s00034-021-01845-z

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