A stochastic Jurdjevic-Quinn theorem for the stabilization of nonlinear stochastic differential systems. (English) Zbl 0997.93096

The author presents a feedback control by means of which one can globally asymptotically stabilize (in probability) a stochastic nonlinear control system satisfying a Jurdjevic-Quinn type condition. The result generalizes a pertinent theorem of H. Bensoubaya, A. Ferfara and A. Iggidr.


93E15 Stochastic stability in control theory
93D15 Stabilization of systems by feedback
93C10 Nonlinear systems in control theory
93D20 Asymptotic stability in control theory
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