• DocumentCode
    342996
  • Title

    Dissipativity and stability of nonlinear jump systems

  • Author

    Aliyu, M.D.S.

  • Author_Institution
    Dept. of Syst. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
  • Volume
    2
  • fYear
    1999
  • fDate
    2-4 Jun 1999
  • Firstpage
    795
  • Abstract
    We extend the concept of dissipativeness developed for deterministic systems, to stochastic systems with Markov jump disturbances. We give necessary and sufficient conditions for the system to be dissipative in terms of a set of cross-coupled Hamilton-Jacobi inequalities. Finally, we discuss the relationship between the dissipativeness of the system and its stochastic stability
  • Keywords
    Markov processes; nonlinear control systems; stability; stochastic systems; Markov jump disturbances; cross-coupled Hamilton-Jacobi inequalities; dissipativeness; dissipativity; necessary and sufficient conditions; nonlinear jump systems; Control systems; DH-HEMTs; Measurement standards; Minerals; Nonlinear systems; Petroleum; Stability; Stochastic systems; Sufficient conditions; Systems engineering and theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1999. Proceedings of the 1999
  • Conference_Location
    San Diego, CA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-4990-3
  • Type

    conf

  • DOI
    10.1109/ACC.1999.783149
  • Filename
    783149
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=342996