Abstract
In this paper, an uncertain nonlinear switched system is a nonlinear switched system disturbed by subjective uncertainties, which can be illustrated by uncertain differential equations. Stability issues have been deeply studied on switched systems while few results about stability analysis for uncertain switched systems were published before. In order to fill this gap, three different types of stabilities called stability in measure, almost sure stability and stability in mean concerning uncertain nonlinear switched systems with infinite-time domain and countable switches are investigated in order. The internal property of the uncertain switched systems will be described and captured from diverse perspectives on the basis of the above stability analysis. The corresponding criteria to judge these stabilities are obtained according to uncertainty theory and stability theory. A numerical example concerning stability in measure is provided to show the effectiveness of the results derived.
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This work is supported by the Startup Foundation for Introducing Talent of NUIST (No. 2018r097) and the Natural Science Foundation of Jiangsu Province (No. BK20190787).
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Shu, Y., Li, B. Stability analysis for uncertain nonlinear switched systems with infinite-time domain. Fuzzy Optim Decis Making 21, 405–428 (2022). https://doi.org/10.1007/s10700-021-09372-x
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DOI: https://doi.org/10.1007/s10700-021-09372-x