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Journal of Dynamical and Control Systems

, Volume 21, Issue 2, pp 285–305 | Cite as

Stochastic Stability for Uncertain Neutral Markovian Jump Systems with Nonlinear Perturbations

  • Xinghua Liu
  • Hongsheng Xi
Article

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.

Keywords

Neutral Markovian jump systems Nonlinear perturbations Stochastic stability Delay-range-dependent stability 

Mathematics Subject Classfication (2010)

93E15 

Notes

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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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Auto, School of Information Science and TechnologyUniversity of Science and Technology of ChinaAnhuiChina

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