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Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations

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Abstract

The delay-range-dependent stochastic stability for uncertain neutral Markovian jump systems with interval time-varying delays and nonlinear perturbations is investigated. The perturbations under consideration are time-varying and norm-bounded. By delay interval dividing, a novel augmented Lyapunov functional which contains triple-integral terms to reduce the conservativeness is introduced. Based on the Lyapunov functional approach and the nature of convex combination, some improved delay-range-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities without introducing any free-weighting matrices. Finally, numerical examples are given to illustrate the effectiveness of the developed techniques.

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Acknowledgments

This work was supported in part by the National Key Scientific Research Project (61233003), the National Natural Science Foundation of China (60935001, 61174061, 61074033, and 60934006), the Doctoral Fund of Ministry of Education of China (20093402110019) and Anhui Provincial Natural Science Foundation (11040606M143), and the Fundamental Research Funds for the Central Universities and the Program for New Century Excellent Talents in University.

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  1. Department of Auto, School of Information Science and Technology, University of Science and Technology of China, 230027, Anhui, China

    Xinghua Liu & Hongsheng Xi

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  1. Xinghua Liu
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  2. Hongsheng Xi
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Correspondence to Xinghua Liu.

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Liu, X., Xi, H. Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations. J Dyn Control Syst 21, 285–305 (2015). https://doi.org/10.1007/s10883-014-9265-0

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  • DOI: https://doi.org/10.1007/s10883-014-9265-0

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