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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