• DocumentCode
    1209066
  • Title

    Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays

  • Author

    Jiang, Haijun ; Zhang, Long ; Teng, Zhidong

  • Author_Institution
    Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi, China
  • Volume
    16
  • Issue
    6
  • fYear
    2005
  • Firstpage
    1340
  • Lastpage
    1351
  • Abstract
    In this paper, we study cellular neural networks with almost periodic variable coefficients and time-varying delays. By using the existence theorem of almost periodic solution for general functional differential equations, introducing many real parameters and applying the Lyapunov functional method and the technique of Young inequality, we obtain some sufficient conditions to ensure the existence, uniqueness, and global exponential stability of almost periodic solution. The results obtained in this paper are new, useful, and extend and improve the existing ones in previous literature.
  • Keywords
    Lyapunov methods; cellular neural nets; delay systems; differential equations; functional equations; nonlinear equations; nonlinear functions; numerical stability; time-varying systems; CNN; Lyapunov functional method; Young inequality; cellular neural network; existence exponential stability; functional differential equations; global exponential stability; hull equation; hull function; periodic solution; time-varying delay; variable coefficient; Asymptotic stability; Cellular networks; Cellular neural networks; Differential equations; Helium; Lyapunov method; Magnesium compounds; Neural networks; Stability analysis; Sufficient conditions; Almost periodic solution; cellular neural networks (CNNs); global exponential stability; hull equation; hull function; time-varying delays; variable coefficient; young inequality; Algorithms; Computer Simulation; Models, Statistical; Neural Networks (Computer); Nonlinear Dynamics; Periodicity; Signal Processing, Computer-Assisted; Time Factors;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/TNN.2005.857951
  • Filename
    1528515