This paper deals with finite time inverse optimal stabilization for stochastic nonlinear systems. A concept of the stochastic finite time control Lyapunov function (SFT-CLF) is presented, and a control law for finite time stabilization for the closed-loop system is obtained. Furthermore, a sufficient condition is developed for finite time inverse optimal stabilization in probability, and a control law is designed to ensure that the equilibrium of the closed-loop system is finite time inverse optimal stable. Finally, an example is given to illustrate the applications of theorems established in this paper.
"Finite Time Inverse Optimal Stabilization for Stochastic Nonlinear Systems." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/323806