摘要：AbstractThis paper discusses the finite-time stabilization of stochastic systems. Because the finite-time stabilization requires the non-Lipschitz continuity of closed-loop systems, it is difficult to guarantee the existence of strong solutions of stochastic differential equations. This paper considers finite-time stabilizing feedback controllers such that closed-loop systems possess strong solutions. We provide a condition of the existence of such feedback controllers. The condition is given in the framework of control Lyapunov functions. Also, we provide an example of the finite-time stabilization where the existence of a strong solution is guaranteed.
