New stability criteria of singular systems with time-varying delay via free-matrix-based integral inequality

Ya-Li Zhi, Yong He, Jianhua Shen and Min Wu

International Journal of Systems Science, 2018, vol. 49, issue 5, 1032-1039

Abstract: This paper concerns the stability problem of singular systems with time-varying delay. First, the singular system with time-varying delay is transformed into the neutral system with time-varying delay. Second, a more proper Lyapunov–Krasovskii functional (LKF) is constructed by adding some integral terms to quadratic forms. Then, to obtain less conservative conditions, the free-matrix-based integral inequality is adopted to estimate the derivative of LKF. As a result, some delay-dependent stability criteria are given in terms of linear matrix inequalities. Finally, two numerical examples are provided to demonstrate the effectiveness and superiority of the proposed method.

Date: 2018
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DOI: 10.1080/00207721.2018.1439123

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