Stability conditions for a class of nonlinear time-varying switched systems with delays and sector-type nonlinearities

Nguyen Khoa Son, Nguyen Thi Hong and Le Van Ngoc

International Journal of Systems Science, 2026, vol. 57, issue 2, 441-461

Abstract: This paper presents a unified approach to absolute stability analysis for a class of time-varying switched nonlinear systems with delays and sector-type nonlinearities. Several novel sufficient conditions, formulated as linear inequalities, to ensure that the zero solution of the switched systems is both asymptotically and exponentially stable for arbitrary switching signals and any admissible sector-type nonlinearities are provided. For time-invariant positive systems, a necessary and sufficient condition for absolute stability is established. The developed approach utilises the Lyapunov-Krasovskii function method, the comparison principle and the properties of positive systems. Examples are included to illustrate the effectiveness of the proposed method.

Date: 2026
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DOI: 10.1080/00207721.2025.2504061

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