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AUTHOR(S): 

Nuntawan Jinati, Saovalak Vunpoang, Orathai Saradee, Wajaree Weera

 

TITLE

Robust Exponential Stability of a Class of Uncertain Lur’e Systems of Neutral Type Bywirtinger-Based Integral Inequality

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KEYWORDS

Robust exponential stability, uncertain Lur’e systems, neutral system, Wirtinger-based integral inequality

ABSTRACT

This Paper deals with the problem of exponential stability for a class of uncertain Lur’e systems of neutral with interval time-varying delay and sector-bounded nonlinearily. The interval time-varying delay function is not assumed to be differentiable. We analyze the global exponential stability for uncertain neutral and Lur’e dynamical systems with some sector conditions. By constructing a set of improved Lyapunov-Krasovskii functional and Utilizing Wirtinger-based integral inequality combined with Leibniz-Newton’s formula, We establish some new stability criteria in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness of the results. The results in this article generalize and improve the corresponding results of the recent works.

Cite this paper

Nuntawan Jinati, Saovalak Vunpoang, Orathai Saradee, Wajaree Weera. (2016) Robust Exponential Stability of a Class of Uncertain Lur’e Systems of Neutral Type Bywirtinger-Based Integral Inequality. International Journal of Control Systems and Robotics, 1, 181-190