A Tool for the Global Stabilization of Stochastic Nonlinear Systems

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This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. A numerical example is given to illustrate the effectiveness of the proposed method.

Original languageEnglish (US)
Article number7508405
Pages (from-to)1946-1951
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number4
StatePublished - Apr 2017


  • Gain assignment
  • stabilization
  • stochastic input-to-state stability
  • stochastic nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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