Finite time inverse optimal stabilization for stochastic nonlinear systems (Q2015364)
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scientific article; zbMATH DE number 6306655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite time inverse optimal stabilization for stochastic nonlinear systems |
scientific article; zbMATH DE number 6306655 |
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Finite time inverse optimal stabilization for stochastic nonlinear systems (English)
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23 June 2014
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Summary: 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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