We consider stochastic nonaffine nonlinear control systems = + ( ) + ( ) (written in the sense of Itô), being a standard Wiener process, for which we give a sufficient condition for global stabilization by a bounded smooth state feedback that is explicitly given. This condition generalizes the well-known Jurdjevic-Quinn result for deterministic affine control systems.Index Terms-Lyapunov functions, state feedback law, stochastic nonlinear control systems, stochastic stability. Publisher Item Identifier S 0018-9286(00)00814-X.
This paper provides sufficient conditions for stabilization of periodic discrete systems. These conditions are derived from a discrete version of a Theorem due to Krasovski for continuous-time systems. This tool allows to give a systematic design of time-varying stabilizing control for autonomous discrete systems that can not be stabilized by time-invariant feedback.
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