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06-05-2020 | Research Article-Systems Engineering | Issue 8/2020

Arabian Journal for Science and Engineering 8/2020

Multi-switching Dual Combination Synchronization of Time Delay Dynamical Systems for Fully Unknown Parameters via Adaptive Control

Journal:
Arabian Journal for Science and Engineering > Issue 8/2020
Author:
Aysha Ibraheem

Abstract

In this paper, the problem of multi-switching dual combination synchronization of time delay systems is studied for fully unknown parameters. The controlling laws and parameters updating equations are designed by using adaptive control method and Lyapunov functional. In order to illustrate the problem, an example of time delay Rossler, Chen, Shimizu–Morioka, modified Lorenz, advanced Lorenz and Bhalekar–Gejji systems is discussed where time delay Rossler, Chen, Shimizu–Morioka, modified Lorenz systems are considered as leader systems and time delay advanced Lorenz and Bhalekar–Gejji systems are considered as follower systems. Theoretical analysis and graphical results are presented to depict the efficiency of the designed controllers and parameters updating equations. Graphical and analytical results are in excellent agreement.

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