Synchronization a chaotic system with Quadratic terms using the contraction Method

被引：0
作者：
Pabasteh, Marzieh [1 ]
Naderi, Bashir [1 ]
Zarei, Hassan [1 ]
机构：
[1] Payame Noor Univ PNU, Dept Math, Tehran, Iran
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 02期
关键词：
Contraction theory; Chaos; Synchronization; CONTROLLER; DESIGN;
D O I：
10.22034/cmde.2023.55987.2337
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, Synchronization and control methods are discussed as essential topics in science. The contraction method is an exciting method that has been studied for the synchronization of chaotic systems with known and unknown parameters. The controller and the dynamic parameter estimation are obtained using the contraction theory to prove the stability of the synchronization error and the low parameter estimation. The control scheme does not employ the Lyapunov method. For demonstrate the ability of the proposed method, we performed a numerical simulation and compared the result with the previous literature.
引用
收藏
页码：361 / 373
页数：13
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