Exponential admissibility analysis for singular systems with time-varying delay based on a parameter-dependent reciprocally convex inequality

Yufeng Tian and Zhanshan Wang

International Journal of Systems Science, 2020, vol. 51, issue 16, 3199-3212

Abstract: This paper is concerned with the exponential admissibility problem of singular systems with interval time-varying delay. A parameter-dependent reciprocally convex inequality (PDRCI) is developed, which covers some existing ones as its special case. By using the system decomposition method, the considered system is decomposed into differential equations and algebraic ones. Unlike some existing works, the components of state vectors of the subsystems are applied to construct a new augmented Lyapunov–Krasovkii functional (LKF) with fewer decision variables. Based on the new integral inequality and augmented LKF, two exponential admissibility criteria are obtained in terms of linear matrix inequalities (LMIs). It should be mentioned that the derivative of the time-varying delay does not need to be smaller than one in this paper. The effectiveness of the proposed methods is demonstrated by two examples.

Date: 2020
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DOI: 10.1080/00207721.2020.1809747

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