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Algorithms 2017, 10(4), 134; doi:10.3390/a10040134

Improved Integral Inequalities for Stability Analysis of Interval Time-Delay Systems

School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China
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Received: 28 October 2017 / Revised: 26 November 2017 / Accepted: 30 November 2017 / Published: 3 December 2017
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Abstract

A novel stability analysis for the interval time-delay systems is proposed by employing a new series of integral inequalities for single and double integrals. Different from the recently introduced Wirtinger-based inequalities, refined Jensen inequalities and auxiliary function-based inequalities, the proposed ones can provide more accurate bounds for the cross terms in derivatives of the Lyapunov–Krasovskii functional (LKF) without involving additional slack variables. Based on the augmented LKF with triple-integral terms, their applications to stability analysis for interval time-delay systems are provided. By virtue of the newly derived inequalities, the resulting criteria are less conservative than some existing literature. Finally, numerical examples are provided to verify the effectiveness and improvement of the proposed approaches. View Full-Text
Keywords: improved integral inequalities; time-delay systems; interval time-varying delays; stability improved integral inequalities; time-delay systems; interval time-varying delays; stability
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Zhang, S.; Qi, X. Improved Integral Inequalities for Stability Analysis of Interval Time-Delay Systems. Algorithms 2017, 10, 134.

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