Delay-Dependent Stability of Nonlinear Uncertain Stochastic Systems with Time-Varying Delays

  • Cheng Wang
Conference paper

DOI: 10.1007/978-3-642-13278-0_86

Part of the Lecture Notes in Computer Science book series (LNCS, volume 6063)
Cite this paper as:
Wang C. (2010) Delay-Dependent Stability of Nonlinear Uncertain Stochastic Systems with Time-Varying Delays. In: Zhang L., Lu BL., Kwok J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg

Abstract

This paper considers the problem of delay-dependent stability of the systems with nonlinearity, uncertainty and time-varying delays. The uncertainty is assumed to be of norm-bounded form. By constructing Lyapunov-Krasovskii functional and introducing appropriate free-weighting matrices, the sufficient delay-dependent condition is derived for the asymptotic stability of the system. The proposed result is formulated in terms of linear matrix inequality, which can be efficiently solved by standard convex optimization algorithms.

Keywords

Stochastic system Delay-dependent Stability Linear matrix inequality (LMI) 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Cheng Wang
    • 1
    • 2
  1. 1.College of Mathematics and Information ScienceHuanggang Normal UniversityHuanggangChina
  2. 2.Institute of Systems EngineeringHuazhong University of Science and TechnologyWuhanChina

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