Regulation control for a class of stochastic nonlinear cascaded systems

This paper studies the regulation control problem for a class of stochastic nonlinear cascaded systems. A new exponentially practical stability criterion in the moment sense is firstly proposed for stochastic nonlinear systems. Based on the given stability criterion, a regulation controller is constructed to regulate the system output to an arbitrarily small neighborhood of the origin and the closed-loop system is exponentially practically stable in fourth moment sense. A simulation example verifies the feasibility and effectiveness of the proposed controller design scheme.

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