Stability Analysis, Chaos Control of Fractional Order Vallis and El-Nino Systems and Their Synchronization

作     者：Subir Das Vijay K Yadav 

作者机构：Department of Mathematical SciencesIndian Institute of Technology Banaras Hindu University 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2017年第4卷第1期

页      面：114-124页

核心收录：

学科分类：07[理学] 08[工学] 070105[理学-运筹学与控制论] 070201[理学-理论物理] 071101[理学-系统理论] 0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 0711[理学-系统科学] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：the financial support from the UGC New Delhi India under the SRF scheme 

主　　题：El-Nino system fractional derivative nonlinear control method stability analysis synchronization Vallis systems 

摘      要：In this article the authors have studied the stability analysis and chaos control of the fractional order Vallis and El-Nino systems. The chaos control of these systems is studied using nonlinear control method with the help of a new lemma for Caputo derivative and Lyapunov stability *** synchronization between the systems for different fractional order cases and numerical simulation through graphical plots for different particular cases clearly exhibit that the method is easy to implement and reliable for synchronization of fractional order chaotic systems. The comparison of time of synchronization when the systems pair approaches from standard order to fractional order is the key feature of the article.