Globally asymptotic stability of stochastic nonlinear systems by the output feedback
type: Item
instance of: scholarly article
title: Globally asymptotic stability of stochastic nonlinear systems by the output feedback
zbMATH Open document ID: 1394.93263
DOI: 10.1155/2015/574906
author: Wenwen Cheng
author: Quanxin Zhu
author: Zhangsong Yao
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We address the problem of the globally asymptotic stability for a class of stochastic nonlinear systems with the output feedback control. By using the backstepping design method, a novel dynamic output feedback controller is designed to ensure that the stochastic nonlinear closed-loop system is globally asymptotically stable in probability. Our way is different from the traditional mathematical induction method. Indeed, we develop a new method to study the globally asymptotic stability by introducing a series of specific inequalities. Moreover, an example and its simulations are given to illustrate the theoretical result.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6926685
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/574906
OpenAlex ID: W2141375882
Wikidata QID: Q59119405
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description: scientific article; zbMATH DE number 6926685