New results on stability analysis of singular time-delay systems

Guobao Liu

International Journal of Systems Science, 2017, vol. 48, issue 7, 1395-1403

Abstract: This paper deals with the problem of delay-dependent stability analysis for singular systems with a constant time delay. By employing the Jensen inequality and the Wirtinger-based inequality, new delay-dependent stability criteria are developed. Furthermore, in order to obtain less conservative results, a new method of constructing Lyapunov--Krasovskii functionals (LKFs) is used. It should be pointed out that the positive-definiteness restrictions on some symmetric matrices of the LKFs are removed. All the criteria are proposed in terms of strict linear matrix inequalities. Finally, numerical examples are given to demonstrate the less conservatism of the results.

Date: 2017
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DOI: 10.1080/00207721.2016.1258598

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