Kybernetika 52 no. 6, 988-1002, 2016

Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback

Patrick FlorchingerDOI: 10.14736/kyb-2016-6-0988


In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest of this work is that the class of stochastic systems considered in this paper contains a lot of systems which cannot be stabilized via time-invariant feedback laws.


stochastic differential systems, smooth time-varying feedback law, global asymptotic stability in probability


60H10, 93C10, 93D05, 93D15, 93E15


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