Finite Time Inverse Optimal Stabilization for Stochastic Nonlinear Systems | Zendy

Xiushan Cai | Zendy; Yuhang Lin | Zendy; Wei Zhang | Zendy

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Finite Time Inverse Optimal Stabilization for Stochastic Nonlinear Systems

Author(s) -

Xiushan Cai,

Yuhang Lin,

Wei Zhang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/323806

Subject(s) - mathematics , nonlinear system , inverse , lyapunov function , optimal control , control theory (sociology) , mathematical optimization , control (management) , computer science , physics , geometry , quantum mechanics , artificial intelligence

This paper deals with finite time inverse optimal stabilization for stochasticnonlinear 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 inprobability, and a control law is designed to ensure that the equilibrium of the closed-loop systemis finite time inverse optimal stable. Finally, an example is given to illustrate the applicationsof theorems established in this paper

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