  In this paper, we study the stabilization problem for the Ito systems with
both multiplicative noise and multiple delays which exist widely in
applications such as networked control systems. Sufficient and necessary
conditions are obtained for the exponential stabilization problem of Ito
stochastic systems with multiple delays. On one hand, we derive the solvability
of the modified Riccati equation in case of the mean-square exponential
stabilization. On the other hand, the mean-square exponential stabilization is
guaranteed by the solvability of a modified Riccati equation. A novel
stabilizing controller is shown in the feedback from of the conditional
expectation in terms of the modified algebraic Riccati equation. The main
technique is to reduce the original system with multiple delays to a pseudo
delay-free system.
