The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System
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 exponent...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/10/1740 |
| _version_ | 1797551335794540544 |
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| author | Hao Jia Chen Guo |
| author_facet | Hao Jia Chen Guo |
| author_sort | Hao Jia |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T15:44:10Z |
| format | Article |
| id | doaj.art-32842772971d479482467eedfab660f0 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T15:44:10Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-32842772971d479482467eedfab660f02023-11-20T16:35:20ZengMDPI AGMathematics2227-73902020-10-01810174010.3390/math8101740The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic SystemHao Jia0Chen Guo1College of Marine Electrical Engineering, Dalian Maritime University, Dalian 116026, ChinaCollege of Marine Electrical Engineering, Dalian Maritime University, Dalian 116026, ChinaFor 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.https://www.mdpi.com/2227-7390/8/10/1740chaos controlaccurate exponential solution of a differential equationglobal exponential stabilityconvergence speed regulationparameter identification |
| spellingShingle | Hao Jia Chen Guo The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System Mathematics chaos control accurate exponential solution of a differential equation global exponential stability convergence speed regulation parameter identification |
| title | The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System |
| title_full | The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System |
| title_fullStr | The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System |
| title_full_unstemmed | The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System |
| title_short | The Application of Accurate Exponential Solution of a Differential Equation in Optimizing Stability Control of One Class of Chaotic System |
| title_sort | application of accurate exponential solution of a differential equation in optimizing stability control of one class of chaotic system |
| topic | chaos control accurate exponential solution of a differential equation global exponential stability convergence speed regulation parameter identification |
| url | https://www.mdpi.com/2227-7390/8/10/1740 |
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