• DocumentCode
    1550381
  • Title

    Robust Exponential Stability of Uncertain Stochastic Neural Networks With Distributed Delays and Reaction-Diffusions

  • Author

    Jianping Zhou ; Shengyuan Xu ; Baoyong Zhang ; Yun Zou ; Hao Shen

  • Author_Institution
    Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
  • Volume
    23
  • Issue
    9
  • fYear
    2012
  • Firstpage
    1407
  • Lastpage
    1416
  • Abstract
    This paper considers the problem of stability analysis for uncertain stochastic neural networks with distributed delays and reaction-diffusions. Two sufficient conditions for the robust exponential stability in the mean square of the given network are developed by using a Lyapunov-Krasovskii functional, an integral inequality, and some analysis techniques. The conditions, which are expressed by linear matrix inequalities, can be easily checked. Two simulation examples are given to demonstrate the reduced conservatism of the proposed conditions.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; mean square error methods; neural nets; robust control; stochastic systems; uncertain systems; Lyapunov-Krasovskii functional; distributed delays; integral inequality; linear matrix inequalities; mean square; reaction diffusions; robust exponential stability; stability analysis; uncertain stochastic neural networks; Biological neural networks; Delay; Neurons; Robustness; Stability criteria; Distributed delays; reaction-diffusions; robust stability; stochastic neural networks;
  • fLanguage
    English
  • Journal_Title
    Neural Networks and Learning Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    2162-237X
  • Type

    jour

  • DOI
    10.1109/TNNLS.2012.2203360
  • Filename
    6228542