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Finite Time Inverse Optimal Stabilization for Stochastic Nonlinear Systems

Xiushan Cai, Yuhang Lin and Wei Zhang

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:323806

DOI: 10.1155/2013/323806

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