Wirtinger-Type Inequality and the Stability Analysis of Delayed Lur'e System

Zixin Liu, Jian Yu, Daoyun Xu and Dingtao Peng

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-9

Abstract:

This paper proposes a new delay-depended stability criterion for a class of delayed Lur'e systems with sector and slope restricted nonlinear perturbation. The proposed method employs an improved Wirtinger-type inequality for constructing a new Lyapunov functional with triple integral items. By using the convex expression of the nonlinear perturbation function, the original nonlinear Lur'e system is transformed into a linear uncertain system. Based on the Lyapunov stable theory, some novel delay-depended stability criteria for the researched system are established in terms of linear matrix inequality technique. Three numerical examples are presented to illustrate the validity of the main results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:793686

DOI: 10.1155/2013/793686

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