• DocumentCode
    1319873
  • Title

    Exponential Stabilization of Memristive Neural Networks With Time Delays

  • Author

    Ailong Wu ; Zhigang Zeng

  • Author_Institution
    Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
  • Volume
    23
  • Issue
    12
  • fYear
    2012
  • Firstpage
    1919
  • Lastpage
    1929
  • Abstract
    In this paper, a general class of memristive neural networks with time delays is formulated and studied. Some sufficient conditions in terms of linear matrix inequalities are obtained, in order to achieve exponential stabilization. The result can be applied to the closed-loop control of memristive systems. In particular, several succinct criteria are given to ascertain the exponential stabilization of memristive cellular neural networks. In addition, a simplified and effective algorithm is considered for design of the optimal controller. These conditions are the improvement and extension of the existing results in the literature. Two numerical examples are given to illustrate the theoretical results via computer simulations.
  • Keywords
    asymptotic stability; cellular neural nets; closed loop systems; control system synthesis; delays; linear matrix inequalities; memristors; optimal control; closed loop control; exponential stabilization; linear matrix inequality; memristive cellular neural network; optimal controller design; succinct criteria; sufficient conditions; time delay; Biological neural networks; Cellular neural networks; Linear matrix inequalities; Memristors; Numerical models; Switches; Hybrid systems; memristive neural networks; optimal control; stabilization;
  • fLanguage
    English
  • Journal_Title
    Neural Networks and Learning Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    2162-237X
  • Type

    jour

  • DOI
    10.1109/TNNLS.2012.2219554
  • Filename
    6332525