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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Synchronization of Time-delay Chaotic Systems with Uncertainties and External Disturbances

Discontinuity, Nonlinearity, and Complexity 8(1) (2019) 13--21 | DOI:10.5890/DNC.2019.03.002

Ajit K. Singh$^{1}$, VijayK. Yadav$^{2}$, Subir Das$^{2}$

$^{1}$ Department of Mathematics, National Institute of Technology, Hamirpur-177005, HP, India

$^{2}$ Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi - 221005, India

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Abstract

In this article, the authors have studied the problem of synchronization of time-delay chaotic systems with uncertainties and external disturbances. The effectiveness of the problem statement is visualized through synchronization of time-delay advanced Lorenz system and double time-delay R¨ossler system with parametric uncertainties and disturbances using active control method. Numerical simulations are carried out using Runge-Kutta algorithm for delay differential equations (DDEs) and the results are depicted through graphs. The physical meaning of time-delay system is that a signal is transmitted and received at a later time, which is found to occur in active sensing problems. The salient feature of the article is the demonstration of the efficiency of the considered method during synchronization of time-delay chaotic systems even in presence of uncertainties and external disturbances.

Acknowledgments

The authors are thankful to the revered reviewers for their suggestions towards the up-gradation of the manuscript. The second author, Dr. V. K. Yadav, is extending his gratitude to the Indian Institute of Technology (BHU), Varanasi - 221005, India for providing him the Post Doctoral Position under the supervision of Prof. S. Das, the corresponding author.

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