Novel Stability Analysis for Uncertain Neutral-Type Lur’e Systems with Time-Varying Delays Using New Inequality

Yanmeng Wang, Lianglin Xiong, Yongkun Li, Haiyang Zhang and Chen Peng

Mathematical Problems in Engineering, 2017, vol. 2017, 1-13

Abstract:

This paper considers the delay-dependent stability analysis of neutral-type Lur’e systems with time-varying delays and sector bounded nonlinearities. First of all, using constructed function methods, a new Jensen-like inequality is introduced to obtain less conservative results. Second, a new class of Lyapunov-Krasovskii functional (LKF) is constructed according to the characteristic of the considered systems. Third, combining with the new inequality and reciprocal convex approach and some other inequality techniques, the new less conservative robust stability criteria are shown in the form of linear matrix inequalities (LMIs). Finally, three examples demonstrate the feasibility and the superiority of our methods.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5731325

DOI: 10.1155/2017/5731325

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