The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method

This paper treats the exponential stabilization of a class of n-D chaotic systems. A new control approach which is called the exact solution method is presented. The most important feature of this method is that the solution of the system under consideration can be carefully designed to converge exp...

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Main Authors: Runzi Luo, Jiaojiao Fu, Haipeng Su
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/6954752
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author Runzi Luo
Jiaojiao Fu
Haipeng Su
author_facet Runzi Luo
Jiaojiao Fu
Haipeng Su
author_sort Runzi Luo
collection DOAJ
description This paper treats the exponential stabilization of a class of n-D chaotic systems. A new control approach which is called the exact solution method is presented. The most important feature of this method is that the solution of the system under consideration can be carefully designed to converge exponentially to the origin. Based on this method, the exponential stabilization of a class of n-D chaotic systems and its application in controlling chaotic system with unknown parameter are presented. The Genesio-Tesi system is taken to give the numerical simulation which is completely consistent with the theoretical analysis presented in this paper.
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institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-1ae6be70c37446619734113d2b962b782025-02-03T07:26:05ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/69547526954752The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution MethodRunzi Luo0Jiaojiao Fu1Haipeng Su2Department of Mathematics, Nanchang University, 330031, ChinaDepartment of Mathematics, Nanchang University, 330031, ChinaDepartment of Mathematics, Nanchang University, 330031, ChinaThis paper treats the exponential stabilization of a class of n-D chaotic systems. A new control approach which is called the exact solution method is presented. The most important feature of this method is that the solution of the system under consideration can be carefully designed to converge exponentially to the origin. Based on this method, the exponential stabilization of a class of n-D chaotic systems and its application in controlling chaotic system with unknown parameter are presented. The Genesio-Tesi system is taken to give the numerical simulation which is completely consistent with the theoretical analysis presented in this paper.http://dx.doi.org/10.1155/2019/6954752
spellingShingle Runzi Luo
Jiaojiao Fu
Haipeng Su
The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method
Complexity
title The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method
title_full The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method
title_fullStr The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method
title_full_unstemmed The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method
title_short The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method
title_sort exponential stabilization of a class of n d chaotic systems via the exact solution method
url http://dx.doi.org/10.1155/2019/6954752
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