Abstract
The paper proves a unified analysis for finite-time anti-synchronization of a class of integer-order and fractional-order chaotic systems. We establish an effective controller to ensure that the chaotic system with unknown parameters achieves anti-synchronization in finite time under our controller. Then, we apply our results to the integer-order and fractional-order Lorenz system, respectively. Finally, numerical simulations are presented to show the feasibility of the proposed control scheme. At the same time, through the numerical simulation results, it is show that for the Lorenz chaotic system, when the order is greater, the more quickly is anti-synchronization achieved.
Highlights
In recent years, the synchronization and anti-synchronization of chaotic systems have become a challenging and interesting problem due to the potential applications of chaotic systems in secure communication and control processing, chemical reactions, biological systems, etc
We study the finite-time anti-synchronization of a class of integer- and fractional-order chaotic systems with unknown parameters under the control of a unified controller
The Lyapunov function and fractional derivative theory were used to prove that the integer- and fractional-order chaotic system with unknown parameters can be controlled by the unified controller to achieve finite-time anti-synchronization
Summary
The synchronization and anti-synchronization of chaotic systems have become a challenging and interesting problem due to the potential applications of chaotic systems in secure communication and control processing, chemical reactions, biological systems, etc. Finite-time anti-synchronization of two identical and two different variable-order fractional chaotic systems with unknown parameters was studied in [38]. It is rare to study the finite-time anti-synchronization of integer- and fractional-order chaotic systems with uniform control, and the parameters of the chaotic system are unknown. In this paper, we mainly study the finite-time anti-synchronization of the integerand fractional-order chaotic systems with unknown parameters by a unified controller. We study the finite-time anti-synchronization of a class of integer- and fractional-order chaotic systems with unknown parameters under the control of a unified controller. The unified controller theory is applied to integer- and fractional-order Lorentz systems respectively to achieve finite-time anti-synchronization. The section designs an effective controller to ensure that the integer-order and fractional-order chaotic systems achieve anti-synchronization in finite time. Finite-Time Anti-Synchronization of the Integer-Order and Fractional-Order Chaotic Systems
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