The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method. (12th May 2019)

• Record Type: Journal Article
• Authors: Luo, Runzi; Fu, Jiaojiao; Su, Haipeng
• Other Names: Posadas-Castillo Cornelio Academic Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-05-12
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/6954752
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : 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.