Finite Time Inverse Optimal Stabilization for Stochastic Nonlinear Systems
2013
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.
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