• DocumentCode
    1511409
  • Title

    Stabilization of dynamical systems by adding a colored noise

  • Author

    Basak, Gopal K.

  • Author_Institution
    Dept. of Math., Bristol Univ., UK
  • Volume
    46
  • Issue
    7
  • fYear
    2001
  • fDate
    7/1/2001 12:00:00 AM
  • Firstpage
    1107
  • Lastpage
    1111
  • Abstract
    Stabilization of dynamics of a system has been of great concern to researchers and practitioners over the years. It is observed that the system is more viscous if one adds a noise in the system. In the present situation, the system is perturbed by a (multiplicative) noise and the stable/unstable behavior is examined. It is then observed that, one can stabilize or destabilize a large class of systems of ordinary differential equations (ODE) and stochastic differential equations (SDE) if a noise is carefully added
  • Keywords
    differential equations; noise; stability; ODE; SDE; colored noise; dynamical system stabilization; multiplicative noise; ordinary differential equations; stable behavior; stochastic differential equations; unstable behavior; viscous system; Automatic control; Colored noise; Control system synthesis; Control systems; Feedback; Optimized production technology; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.935065
  • Filename
    935065