New insight into admissibility analysis for singular systems with time-varying delays

Yang Li and Yong He

International Journal of Systems Science, 2021, vol. 52, issue 13, 2752-2762

Abstract: This paper focuses on the admissibility analysis of singular systems with time-varying delays. The goal is to obtain admissibility criterion with less conservatism and fewer decision variables. After decomposing singular systems into differential subsystems and algebraic ones, an improved augmented Lyapunov–Krasovskii functional is established according to decomposed state vectors. Then, combining the auxiliary function-based inequality and the extended reciprocally convex matrix method, a less conservative admissibility criterion with fewer decision variables is obtained. Finally, a numerical example verifies the reduced conservatism and calculation burden of the presented method.

Date: 2021
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DOI: 10.1080/00207721.2021.1902016

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