Submitted:
02 August 2021
Posted:
04 August 2021
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Abstract
In this research article we solve the problem of synchronization and anti-synchronization of chaotic systems described by discrete and time-delayed variable fractional order differential equations. To guarantee the synchronization and anti-synchronization of these systems, we use the well-known PID control theory and the Lyapunov-Krasovskii stability theory for discrete systems of variable fractional order.We illustrate the results obtained through simulation with examples, in which it can be seen that our results are satisfactory, thus achieving synchronization and anti-synchronization of chaotic systems of variable fractional order with discrete time delay.
Keywords:
Variable-order fractional-discrete time systems
; Synchronization and Anti-Synchronization
; Lyapunov-Krasovskii Stability
; Fractional Order Caputo Derivative
; Time-Delay Fractional-Discrete Systems
; Fractional Order Discrete Time PID Control
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
