• DocumentCode
    2742249
  • Title

    Robust Stability Criteria for Uncertain Stochastic Cellular Neural Networks with Time Delays

  • Author

    Qiu, Jiqing ; Gao, Zhifeng ; Wang, Jufang ; Shi, Peng

  • Author_Institution
    Hebei Univ. of Sci. & Technol., Shijiazhuang
  • fYear
    2007
  • fDate
    5-7 Sept. 2007
  • Firstpage
    556
  • Lastpage
    556
  • Abstract
    In this paper, the global robust asymptotic stability problem is considered for stochastic cellular neural networks with time delays and parameter uncertainties. The aim of this paper is to establish easily verifiable conditions under which the stochastic cellular neural networks is globally robustly asymptotically stable in the mean square for all admissible parameter uncertainties. Base on Lyapunov- Krasovskii functional and stochastic analysis approaches, a linear matrix inequality (LMI) approach is developed to derive the stability criteria. A numerical example is provided to illustrate the effectiveness and applicability of the proposed criteria.
  • Keywords
    Lyapunov methods; asymptotic stability; cellular neural nets; delays; linear matrix inequalities; stochastic systems; uncertain systems; Lyapunov-Krasovskii functional; global robust asymptotic stability; linear matrix inequality; parameter uncertainties; robust stability criteria; stochastic analysis; stochastic cellular neural networks; time delays; Asymptotic stability; Biological neural networks; Cellular neural networks; Delay effects; Neurons; Robust stability; Robustness; Stability analysis; Stochastic processes; Uncertain systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Innovative Computing, Information and Control, 2007. ICICIC '07. Second International Conference on
  • Conference_Location
    Kumamoto
  • Print_ISBN
    0-7695-2882-1
  • Type

    conf

  • DOI
    10.1109/ICICIC.2007.503
  • Filename
    4428198