A Generalized Analytical Approach for the Synchronization of Multiple Chaotic Systems in the Finite Time

Ahmad, Israr; Shafiq, Muhammad

doi:10.1007/s13369-019-04304-9

Cited by 7 publications

(9 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This subsection compares the performance of the proposed FTC approach (12) with the published results (Ahmad and Shafiq, 2020b; Huang et al , 2014). The control input uifalse(tfalse) for i∈true(1, 2, 3true) in the closed-loop (25a) achieves the FTS.…”

Section: Numerical Examplesmentioning

confidence: 96%

“…Most of the FTS control methods mentioned above consider sign function in the feedback controller (Yang et al , 2010; Shi et al , 2016; Chen et al , 2018; Zhang et al , 2018; Li et al , 2018). The presence of sign function in the feedback controller creates an oscillation in the control input signals, and the systems may lose synchronization stability (Ahmad and Shafiq, 2020b). In response, hefty control signals are required to keep the synchronization intact.…”

Section: Introductionmentioning

confidence: 99%

“…The relevant literature reports some interesting articles to either reduce or eliminate the high oscillations problem that replaces the sign function by continuous-time tanh function. However, it has been observed that the proposed continuous-time nonlinear FTC techniques (Ahmad et al , 2018b; Ahmad and Shafiq, 2020b) provide inferior transient performance. Another challenge in the published works (Yang et al , 2010; Huang et al , 2014; Shi et al , 2016; Chen et al , 2018; Zhang et al , 2017; Li et al , 2018) is the cancellation of the nonlinear terms of the plants appearing in the closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems

Haris¹,

Shafiq

Ibrahim

et al. 2020

MMMS

Self Cite

View full text Add to dashboard Cite

PurposeThe purpose of this paper is to develop some interesting results in the field of chaotic synchronization with a new finite-time controller to reduce the time of convergence.Design/methodology/approachThis article proposes a finite-time controller for the synchronization of hyper(chaotic) systems in a given time. The chaotic systems are perturbed by the model uncertainties and external disturbances. The designed controller achieves finite-time synchronization convergence to the steady-state error without oscillation and elimination of the nonlinear terms from the closed-loop system. The finite-time synchronization convergence reduces the hacking duration and recovers the embedded message in chaotic signals within a given preassigned limited time. The free oscillation convergence keeps the energy consumption low and alleviates failure chances of the actuator. The proposed finite-time controller is a combination of linear and nonlinear parts. The linear part keeps the stability of the closed-loop, the nonlinear part increases the rate of convergence to the origin. A generalized form of analytical stability proof is derived for the synchronization of chaotic and hyper-chaotic systems. The simulation results provide the validation of the accomplish synchronization for the Lu chaotic and hyper-chaotic systems.FindingsThe designed controller not only reduces the time of convergence without oscillation of the trajectories which can run the system for a given time domain.Originality/valueThis work is originally written by the author.

show abstract

Section: Numerical Examplesmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems

Haris¹,

Shafiq

Ibrahim

et al. 2020

MMMS

Self Cite

View full text Add to dashboard Cite

show abstract

“…Article 21 developed an adaptive intermittent control scheme to deal with the stochastic exponential synchronization of delayed memristive neural networks. On the basis of Lyapunov stability theory, articles [22][23][24] investigated the robust finite time synchronization of chaotic systems with external disturbances. The issue of asymptotical synchronization for uncertain chaotic systems was considered in article 25 by adopting a robust adaptive control scheme.…”

Section: Introductionmentioning

confidence: 99%

“…(2) A new control scheme is developed to realize the fixed-time synchronization of chaotic neural systems. Compared with the existing literatures, [14][15][16][17][18][19][20][21][22][23][24][25] the control schemes derived in papers [14][15][16][17][18][19][20][21][22][23][24][25] can only provide the finite time stable of system at most. However, the control approach given in this article cannot only offer a fast convergence rate, but also provide a bounded convergence time which is determined by the control parameters regardless of the initial values.…”

Section: Introductionmentioning

confidence: 99%

Fixed time synchronization of delayed chaotic neural networks by using active adaptive control

Luo

et al. 2021

Adaptive Control & Signal

View full text Add to dashboard Cite

This article aims to investigate the fixed time synchronization of a class of chaotic neural systems by way of adaptive control method. Using Lyapunov stability theory, a new fixed time stability theorem which plays an important role on the synchronization scheme is presented at first. Then, combining the fixed time stability theorem and adaptive control technique, an adaptive control scheme has been developed to achieve the fixed time synchronization of chaotic neural systems. The proposed controllers assure the global convergence of the error dynamics in fixed-time based on the Lyapunov stability theory. Furthermore, the proposed control strategy cannot only provide a fast convergence rate, but also afford a bounded convergence time which is unrelated to the initial values and easy to work out by using the simple time calculation formula. Finally, numerical simulations are presented by taking a typical two-order chaotic neural system as an example to verify and demonstrate the effectiveness of the proposed scheme.

show abstract

Finite-time synchronization of four-dimensional memristor-based chaotic oscillator and applied to secure communication systems

Ahmad¹,

Shafiq²,

Naderi³

2023

Franklin Open

View full text Add to dashboard Cite

A Generalized Analytical Approach for the Synchronization of Multiple Chaotic Systems in the Finite Time

Cited by 7 publications

References 39 publications

A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems

A generalized finite-time analytical approach for the synchronization of chaotic and hyperchaotic systems

Fixed time synchronization of delayed chaotic neural networks by using active adaptive control

Finite-time synchronization of four-dimensional memristor-based chaotic oscillator and applied to secure communication systems

Contact Info

Product

Resources

About