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In this paper, we study the stabilization problem for the Ito systems withboth multiplicative noise and multiple delays which exist widely inapplications such as networked control systems. Sufficient and necessaryconditions are obtained for the exponential stabilization problem of Itostochastic systems with multiple delays. On one hand, we derive the solvabilityof the modified Riccati equation in case of the mean-square exponentialstabilization. On the other hand, the mean-square exponential stabilization isguaranteed by the solvability of a modified Riccati equation. A novelstabilizing controller is shown in the feedback from of the conditionalexpectation in terms of the modified algebraic Riccati equation. The maintechnique is to reduce the original system with multiple delays to a pseudodelay-free system.

Exponential Stabilization for Ito Stochastic Systems with Multiple Input Delays