Abstract
This paper investigates the input/output-to-state stability (IOSS) for continuous-time switched nonlinear systems (CTSNSs) containing both IOSS and non-IOSS constituent subsystems under mode-dependent average dwell time switching signal. New sufficient IOSS conditions are established to guarantee the IOSS properties of the CTSNSs, which extend the related existing results to a more general mode-dependent situation. A numerical example is provided to illustrate the effectiveness of the theoretical results.
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Recommended by Associate Editor Xiao-Heng Chang under the direction of Editor Jessie (Ju H.) Park.
This work was supported by the National Natural Science Foundation of China under Grant 62073181, and was also supported by China Scholarship Council (CSC NO. 201908320096), Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents.
Xiaoqing Xiao is currently a Professor with the School of Information Science and Technology, Nantong University, Jiangsu, China. She received her Ph.D. degree from the School of Automation, Nanjing University of Science and Technology, Jiangsu, China, in 2017. She worked as a Postdoc at Department of Electrical Engineering, Yeungnam University, Korea, from 2017 to 2018. Her current research interests include event-triggered filtering and control, switched systems.
Lei Zhou received his Ph.D. degree from the Department of Mathematics, East China Normal University, China, in 2010. He joined Nantong University, Jiangsu, China, in 2004 and he is currently a Professor with the School of Information Science and Technology. From 2010 to 2019, he has visited the Department of Mathematics, City University of Hong Kong, Hong Kong, for several times as Research Associate, Senior Research Associate. In 2018, he was a Visiting Scholar with the Department of Electrical Engineering, Yeungnam University, Korea, for two months. From June 2019 to November 2020, he was a Visiting Scholar with Tandon School of Engineering, New York University, NY, USA. His current research interests include switched systems, singular systems and networked control systems.
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Xiao, X., Zhou, L. Mode-dependent IOSS Conditions for Continuous-time Switched Nonlinear Systems. Int. J. Control Autom. Syst. 19, 3580–3587 (2021). https://doi.org/10.1007/s12555-020-0786-x
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DOI: https://doi.org/10.1007/s12555-020-0786-x