The synchronization of chaotic systems with different dimensions by a robust generalized active control

Ahmad, Israr; Saaban, Azizan; Ibrahim, Adyda Binti; Shahzad, Mohammad; Naveed, Nawazish

doi:10.1016/j.ijleo.2015.12.134

Cited by 30 publications

(26 citation statements)

References 22 publications

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“…In this section, we synchronize the identical and non-identical pairs of Φ 6 -VDPO and DO, respectively, using the LAC technique for chaos synchronization that was proposed by Bai and Lonngren [9] and it has recently been accepted as one of the most efficient techniques for synchronizing both identical and non-identical chaotic systems because of its simple implementation in practical systems [25][26][27][28]. It can be easily designed according to the given conditions of the chaotic system as a way of accomplishing synchronization globally asymptotically, if the nonlinearity of the system is known.…”

Section: Synchronization Using Lacmentioning

confidence: 99%

Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica

Shahzad

Ahmad

Saaban

et al. 2016

Systems

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Abstract:Chaotic dynamics are an interesting topic in nonlinear science that has been intensively studied during the last three decades due to its wide availability. Motivated by much researches on synchronization, the authors of this study have improved the time response of stabilization when parametrically excited Φ 6 -Van der Pol Oscillator (VDPO) and Φ 6 -Duffing Oscillator (DO) are synchronized identically as well as non-identically (with each other) using the Linear Active Control (LAC) technique using Mathematica. Furthermore, the authors have synchronized the same pairs of the oscillators using a more robust synchronization with faster time response of stability called Robust Adaptive Sliding Mode Control (RASMC). A comparative study has been done between the previous results of Njah's work and our results based on Mathematica via LAC. The time response of stabilization of synchronization using RASMC has been discussed.

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Section: Synchronization Using Lacmentioning

confidence: 99%

Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica

Shahzad

Ahmad

Saaban

et al. 2016

Systems

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“…Studies on chaos synchronization for the fractional order systems are just beginning to attract some attention due to its potential applications in secure communication and control processing. There are many different methods and strategies of fractional order continuous and discrete chaos synchronization have been developed such as activation feedback method, linear and nonlinear feedback synchronization [3,4,8,13,20,25,29], sliding mode control [12,16,22,23,30,34], adaptive control [1,2,5,9,14,21,33], and projective synchronization [10,17,24]. To the best of our knowledge, most of research efforts mentioned above have concentrated on studying the synchronization of fractional order chaotic systems whose models are identical, different.…”

Section: Introductionmentioning

confidence: 99%

Projective reduce order synchronization of fractional order chaotic systems with unknown parameters

Al-Sawalha¹

2017

J. Nonlinear Sci. Appl.

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This paper, mainly concerns the adaptive projective reduce order synchronization behavior of uncertain chaotic system. By Lyapunov stability theory, the adaptive control law and the parameter update law are derived to make the states of two chaotic and hyperchaotic systems asymptotically synchronized up to a desired identical and different scaling matrix. Numerical simulation results show that the proposed method is effective, convenient, and also faster for projective dual synchronization of chaotic and hyperchaotic systems.

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“…After the remarkable work in [1], chaotic synchronization has been widely investigated due to its theoretical challenges and potential applications in different scientific fields [2][3][4]. A variety of chaos synchronization control techniques have been developed.…”

Section: Introductionmentioning

confidence: 99%

Globally exponential synchronization criterion of chaot-ic oscillators using active control

Ahmad

Mahrouqi

Shahzad

2017

IJAMS

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This research paper focuses the globally exponential synchronization between two identical and two nonidentical chaotic oscillators. With the help of Lyapunov direct method and using the active control technique, suitable algebraic conditions are obtained analytically that establish the globally exponential synchronization. The proposed globally exponential synchronization criterion is more general and much less conservative than the previously published works. A comparison, based upon the synchronization speed, cost and quality have been performed with our study of the previously published results. The effect of unknown external disturbances has also been discussed. Numerical simulation results are presented to illustrate the performance and efficiency of this study.

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The synchronization of chaotic systems with different dimensions by a robust generalized active control

Cited by 30 publications

References 22 publications

Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica

Improved Time Response of Stabilization in Synchronization of Chaotic Oscillators Using Mathematica

Projective reduce order synchronization of fractional order chaotic systems with unknown parameters

Globally exponential synchronization criterion of chaot-ic oscillators using active control

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