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In the deterministic case, a significant improvement on stability analysis of nonlinear systems is caused by introducing Barbalat’s lemma into control area after Lyapunov’s second method and LaSalle’s theorem were established. This note considers the extension of Barbalat’s lemma to the stochastic case. To this end, the uniform continuity and the absolute(More)
A more general class of stochastic nonlinear systems with irreducible homogenous Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solution are firstly presented by using the inequality of mathematic expectation of Lyapunov function. The state-feedback controller is designed by(More)
In this paper, we consider the problem of global stabilization for a class of stochastic high-order feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination design method and constructing the appropriate Lyapunov–Krasovskii functional, a state feedback controller is constructed to drive the closed-loop system to be(More)
This paper investigates a class of stochastic feedforward nonlinear systems with time-varying delay. By introducing the homogeneous domination approach to stochastic systems, a state feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability. © 2013 Elsevier Ltd. All rights reserved.