Discontinuity, Nonlinearity, and Complexity
Synchronization of Timedelay Chaotic Systems with Uncertainties and External Disturbances
Discontinuity, Nonlinearity, and Complexity 8(1) (2019) 1321  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, Hamirpur177005, 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 timedelay chaotic systems with uncertainties and external disturbances. The effectiveness of the problem statement is visualized through synchronization of timedelay advanced Lorenz system and double timedelay R¨ossler system with parametric uncertainties and disturbances using active control method. Numerical simulations are carried out using RungeKutta algorithm for delay differential equations (DDEs) and the results are depicted
through graphs. The physical meaning of timedelay 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 timedelay chaotic systems even in presence of uncertainties and external disturbances.
Acknowledgments
The authors are thankful to the revered reviewers for their suggestions towards the upgradation 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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