Stability analysis of time-delay systems via free-matrix-based double integral inequality

Changchun Hua, Shuangshuang Wu, Xian Yang and Xinping Guan

International Journal of Systems Science, 2017, vol. 48, issue 2, 257-263

Abstract: Based on the free-weighting matrix and integral-inequality methods, a free-matrix-based double integral inequality is proposed in this paper, which includes the Wirtinger-based double integral inequality as a special case. By introducing some free matrices into the inequality, more freedom can be provided in bounding the quadratic double integral. The connection of the new integral inequality and Wirtinger-based double one is well described, which gives a sufficient condition for the application of the new inequality to be less conservative. Furthermore, to investigate the effectiveness of the proposed inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. Numerical examples are given to demonstrate the advantages of the proposed method.

Date: 2017
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DOI: 10.1080/00207721.2016.1177132

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