Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Time-Delay Synchronization and anti-Synchronization of Variable-Order Fractional Discrete-Time of Chen-Rossler Chaotics Systems Using Variable-Order Fractional-Discrete Time PID Control

Version 1 : Received: 2 August 2021 / Approved: 4 August 2021 / Online: 4 August 2021 (20:16:06 CEST)

How to cite: Perez P., J.; Perez D., J.J.; Perez, J.P.; Martinez Huerta, A. Time-Delay Synchronization and anti-Synchronization of Variable-Order Fractional Discrete-Time of Chen-Rossler Chaotics Systems Using Variable-Order Fractional-Discrete Time PID Control. Preprints 2021, 2021080121 (doi: 10.20944/preprints202108.0121.v1). Perez P., J.; Perez D., J.J.; Perez, J.P.; Martinez Huerta, A. Time-Delay Synchronization and anti-Synchronization of Variable-Order Fractional Discrete-Time of Chen-Rossler Chaotics Systems Using Variable-Order Fractional-Discrete Time PID Control. Preprints 2021, 2021080121 (doi: 10.20944/preprints202108.0121.v1).

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.