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Global stabilization of composite stochastic systems. (English) Zbl 0876.60036
Summary: The aim of this paper is to investigate the stabilizability problem for composite stochastic systems and to apply the results to partially linear composite stochastic systems. In particular, we state sufficient conditions under which there exists a feedback law which renders the equilibrium solution of the closed-loop system deduced from a composite stochastic system exponentially stable in mean square. In the case of partially linear composite stochastic systems, the stabilizing feedback law is linear and is related to the solution of a stochastic Riccati-type equation.

60H10Stochastic ordinary differential equations
93E15Stochastic stability
Full Text: DOI
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