Finite time inverse optimal stabilization for stochastic nonlinear systems
type: Item
instance of: scholarly article
title: Finite time inverse optimal stabilization for stochastic nonlinear systems
zbMATH Open document ID: 1291.93244
DOI: 10.1155/2013/323806
author: Yuhang Lin
author: Wei Zhang
author: Xiushan Cai
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 6306655
Wikidata QID: Q58915940
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/323806
OpenAlex ID: W2164456229
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description: scientific article; zbMATH DE number 6306655