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Article

The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System

by 1,2,* and 1
1
College of Marine Electrical Engineering, Dalian Maritime University, Dalian 116026, China
2
School of Electrical Engineering, Dalian Institute of Science and Technology, Dalian 116052, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(10), 1740; https://doi.org/10.3390/math8101740
Received: 18 August 2020 / Revised: 30 September 2020 / Accepted: 1 October 2020 / Published: 10 October 2020
(This article belongs to the Special Issue Applications of Partial Differential Equations in Engineering)
For many nonlinear systems in our life, the chaos phenomenon generated under certain conditions in special cases will split the system and result in a crash-down of the system. This paper discusses the stable control of one class of chaotic systems and a control method based on the accurate exponential solution of a differential equation is used. Compared with other methods, the advantages are: this method determines that the system can exponentially converge at the origin and the convergence rate can be easily regulated. The chaotic system with unknown parameters is also deduced and validated by using this method. In practical application, it is found that the ship’s electric system also has the same model, so it has certain practical significance. View Full-Text
Keywords: chaos control; accurate exponential solution of a differential equation; global exponential stability; convergence speed regulation; parameter identification chaos control; accurate exponential solution of a differential equation; global exponential stability; convergence speed regulation; parameter identification
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MDPI and ACS Style

Jia, H.; Guo, C. The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System. Mathematics 2020, 8, 1740. https://doi.org/10.3390/math8101740

AMA Style

Jia H, Guo C. The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System. Mathematics. 2020; 8(10):1740. https://doi.org/10.3390/math8101740

Chicago/Turabian Style

Jia, Hao, and Chen Guo. 2020. "The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System" Mathematics 8, no. 10: 1740. https://doi.org/10.3390/math8101740

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