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Stability of Aperiodic Sampled-data Systems - An Augmented Looped Lyapunov Functional with Wirtinger Inequality Approach

Min Zheng*, Hainan Yang, Yang Song, Jing Deng, and Minrui Fei
International Journal of Control, Automation, and Systems, vol. 13, no. 3, pp.773-777, 2015

Abstract : This paper is concerned with stability analysis of sampled-data systems with non-uniform sampling patterns. The stability problem is solved based on an augmented looped Lyapunov functional with Wirtinger inequality approach. The effectiveness of this approach depends on proper selecting looped Lyapunov functional parts and less conservative inequality techniques. The method developed here is an extension of previous results by using novel augmented functional and Wirtinger inequality. Numerical examples are given to illustrate the result.

Keyword : Aperiodic sampled-data system, looped Lyapunov functional, stability analysis, Wirtinger inequality.

 
 
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