The Global Exponential Stability Analysis of Nonlinear Dynamic System and Application
Applied and Computational Mathematics
Volume 6, Issue 2, April 2017, Pages: 68-74
Received: Jan. 31, 2017; Accepted: Feb. 14, 2017; Published: Mar. 6, 2017
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Authors
Li Xiao, Department of Mathematics and Information Engineering, Chongqing University of Education, Chongqing, PR China
Junjie Bao, Department of Mathematics and Information Engineering, Chongqing University of Education, Chongqing, PR China
Xi Shi, Department of Mathematics and Information Engineering, Chongqing University of Education, Chongqing, PR China
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Abstract
This paper studies the global exponential stability for a class of nonlinear dynamical systems. A new state feedback controller is designed, which can effectively stabilize this kind of nonlinear system to the equilibrium point at exponential rate. The feasibility of the method is proved theoretically, and an algorithm is systematically proposed to configure the related parameters of the controller. Then simulation results show the effectiveness of the proposed control method.
Keywords
Nonlinear System, Exponential Stability, Unified System, Chaotic Masking
To cite this article
Li Xiao, Junjie Bao, Xi Shi, The Global Exponential Stability Analysis of Nonlinear Dynamic System and Application, Applied and Computational Mathematics. Vol. 6, No. 2, 2017, pp. 68-74. doi: 10.11648/j.acm.20170602.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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