• DocumentCode
    3101210
  • Title

    Asymptotic stability of impulsive stochastic functional differential systems via Razumikhin techniques

  • Author

    Cheng, Pei ; Deng, Fei-qi ; Qiu, Shen-shan

  • Author_Institution
    Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China
  • Volume
    6
  • fYear
    2009
  • fDate
    12-15 July 2009
  • Firstpage
    3650
  • Lastpage
    3656
  • Abstract
    In this paper, we extend the Razumikhin-type theory to impulsive stochastic functional differential systems. By using Lyapunov functions and Razumikhin techniques, criteria on pth moment asymptotic stability for impulsive stochastic functional differential systems is established. As an application, a class of impulsive stochastic delay systems is discussed. One illustrative example is provided to show the effectiveness of our results.
  • Keywords
    Lyapunov methods; stability; stochastic systems; type theory; Lyapunov functions; Razumikhin techniques; Razumikhin-type theory; asymptotic stability; impulsive stochastic functional differential systems; Asymptotic stability; Cybernetics; Machine learning; Stochastic systems; Razumikhin theorems; Stochastic functional differential systems; asymptotic stability; impulsive;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2009 International Conference on
  • Conference_Location
    Baoding
  • Print_ISBN
    978-1-4244-3702-3
  • Electronic_ISBN
    978-1-4244-3703-0
  • Type

    conf

  • DOI
    10.1109/ICMLC.2009.5212721
  • Filename
    5212721
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3101210