Application adaptive exponential synchronization of chaotic dynamical systems in secure communications

In this paper, a new memristive chaotic system is designed, analyzed, tested, and proposed. An adaptive control synchronization mechanism for both master and slave chaotic systems is also designed. The adaptive control law of this mechanism is derived based on the Lyapunov theory. A single parameter in the slave system has been assumed to be unknown. As the parameters of the master and slave are asymptotically matched, the unknown slave parameters will be identified according to the master’s parameters. The proposed system is used in a secure communication system. The achieved results prove a simple system implementation with a high security of data transmission.

show abstract

“…Based on the Lyapunov stability theory [37,38], the feedback controllers can be obtained from Equation (18) as presented in Equation (19).…”

Section: V(t)mentioning

confidence: 99%

Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

et al. 2019

View full text Add to dashboard Cite

show abstract

“…Therefore, it is challenging to retain the nonlinear terms and show the closed-loop system stability in the synchronization of chaotic systems [2]. One of the core issues in the synchronization of chaotic systems is the slow rate of convergence [16]. The synchronization error with large oscillations is another problem that creates chattering and makes the system noisy.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear feedback controller for the synchronization of (chaotic) systems with known parameters

Haris¹,

Shafiq²,

Ibrahim³

et al. 2020

J. Math. Computer Sci.

View full text Add to dashboard Cite

This paper proposes, designs, and analyses a novel nonlinear feedback controller that realizes fast, and oscillation free convergence of the synchronization error to the equilibrium point. Oscillation free convergence lowers the failure chances of a closed-loop system due to the reduced chattering phenomenon in the actuator motion, which is a consequence of low energy sm ooth control signal. The proposed controller has a novel structure. This controller does not cancel nonlinear terms of the plant in the closed-loop; this attribute improves the robustness of the loop. The controller consists of linear and nonlinear parts; each part executes a specific task. The linear term in the controller keeps the closed-loop stable, while the nonlinear part of the controller facilitates the fast convergence of the error signal to the vicinity of the origin. Then the linear controller synthesizes a smooth control signal that moves the error signals to zero without oscillations. The nonlinear term of the controller does not contribute to this synthesis. The collaborative combination of linear and nonlinear controllers that drive the synchronization errors to zero is innovative. The paper establishes proof of global stability and convergence behavior by describing a detailed analysis based on the Lyapunov stability theory. Computer simulation results of two numerical examples verify the performance of the proposed controller approach. The paper also provides a comparative study with state-of-the-art controllers.

show abstract

“…synchronization of CSs, different types of controls have been designed, such as adaptive control scheme, stochastic sample data control, and randomly occurring sample data control. In Maheri and Arifin, 7 the author proposes adaptive control scheme to obtain the synchronization error. In earlier studies, 8,9 the stochastic sample data control and randomly occurring sample data control have been established for master-slave synchronization of chaotic Lur'e systems and delayed Lur'e systems.…”

mentioning

confidence: 99%

An exponential stabilization of random impulsive control systems and its application to chaotic systems

Vinodkumar

Senthilkumar

Işık

et al. 2022

Math Methods in App Sciences

View full text Add to dashboard Cite

This paper addresses the problem of pth moment exponential stability and stabilization for random impulsive control systems. Some novel pth moment exponential stability and synchronization approaches are established based on the method of maximum and minimum eigenvalues by using the Lyapunov functions and Razumukhin technique. Finally, we show that the stability and synchronization behavior of random impulses are faster than the fixed time impulses. Some physical examples are given to verify the validity and usefulness of the results obtained.

show abstract

Application adaptive exponential synchronization of chaotic dynamical systems in secure communications

Cited by 5 publications

References 30 publications

Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

Nonlinear feedback controller for the synchronization of (chaotic) systems with known parameters

An exponential stabilization of random impulsive control systems and its application to chaotic systems

Contact Info

Product

Resources

About