Stabilization of a Class of Stochastic Nonlinear Systems-Reference-Cited by-同舟云学术

Stabilization of a Class of Stochastic Nonlinear Systems

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Ghaffari Valiollah¹^ORCID,Karimi Hamid Reza²^ORCID,Noroozi Navid³^ORCID,Naghavi S. Vahid⁴

Affiliation:

1. School of Electrical and Computer Engineering, Shiraz University, 7134851151 Shiraz, Iran

2. Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway

3. Young Researchers and Elites Club, Najaf Abad Branch, Islamic Azad University, Najaf Abad, Isfahan, Iran

4. Young Researchers and Elites Club, Zarghan Branch, Islamic Azad University, Zarghan, Iran

Abstract

This paper addresses two control schemes for stochastic nonlinear systems. Firstly, an adaptive controller is designed for a class of motion equations. Then, a robust finite-time control scheme is proposed to stabilize a class of nonlinear stochastic systems. The stability of the closed-loop systems is established based on stochastic Lyapunov stability theorems. Links between these two methods are given. The efficiency of the control schemes is evaluated using numerical simulations.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/895895.pdf

Reference21 articles.

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5. Gain-Constrained Recursive Filtering With Stochastic Nonlinearities and Probabilistic Sensor Delays