Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters

Ahmad, Israr; Saaban, Azizan; Ibrahim, Adyda Binti; Shahzad, Mohammad; Al-Sawalha, M. Mossa

doi:10.1016/j.ijleo.2016.02.078

Cited by 25 publications

(11 citation statements)

References 20 publications

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“…where Z = X + iY and z = x + iy. After, using the complex vector Z, the equation of motion (2) and (3) take the form:…”

Section: Equation Of Motionmentioning

confidence: 99%

“…The active control is an efficient technique for synchronizing the chaotic systems. This method has been applied to many practical systems such as spatiotemporal dynamical systems (Codreanu [8]), the Rikitake two-disc dynamo-a geographical systems (Vincent [32] ), Non-linear Bloch equations modeling "jerk" equation and R. C. L shunted Josephson junctions (Ucar et al [30,31] ), Complex dynamos (Mahmoud [21] ), Qi systems (Lei et al [18]) and Hyper-chaotic and time delay systems (Israr Ahmad et al [1,2]) etc.…”

Section: Introductionmentioning

confidence: 99%

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Synchronization control of two identical three restricted body problems via active control

Arif¹,

Sagar²

2018

ntmsci

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This article presents the chaos synchronization problem of the restricted three body problem (RTBP) when the primaries are moving in a circular orbit around their center of mass in the non-uniform motion. The feedback controller for the stability of the closed-loop system is designed using the active control strategy. Simulation results satisfy the theoretical findings. For validation of results by numerical simulations, the mathematica 10 is used when the primaries are Mars and Earth.

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“…where Z = X + iY and z = x + iy. After, using the complex vector Z, the equation of motion (2) and (3) take the form:…”

Section: Equation Of Motionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synchronization control of two identical three restricted body problems via active control

Arif¹,

Sagar²

2018

ntmsci

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“…Different sychronization schemes have been reported over the past decade, such as active control synchronization [5], synchronization via improved Laplacian-based method [8], adaptive synchronization [11], hybrid function projective disclocated synchronization [32], or reduced-order synchronization [33] etc. The ability of synchronization is often discovered when studying a new chaotic system because of its importance in practical applications [34][35][36].…”

Section: Synchronization Of the System With Hyperbolic Sine Nonlinearitymentioning

confidence: 99%

Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity

Wang

Volos

Kingni

et al. 2017

Optik

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“…Chaotic signals own characteristics similar to the noise and the broad-band Fourier power spectrum (Kaddoum, 2016). These characteristics of the chaotic systems make them suitable for devising dependable secure communication (SC) systems (Ahmad et al, 2016). SC is an eminent application of chaotic synchronization.…”

Section: Introductionmentioning

confidence: 99%

Oscillation free robust adaptive synchronization of chaotic systems with parametric uncertainties

Ahmad

Shafiq

2020

Transactions of the Institute of Measurement and Control

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The complexity of the closed-loop system, short transient response time, and fast synchronization error convergence rates are the three basic parameters that limit hacking in the data encryption and secure the communication systems. This paper addresses the following two challenges: The full-order synchronization (FOS) of two parametrically excited second-order nonlinear pendulum (PENP) chaotic systems with uncertain parameters. The reduced-order synchronization (ROS) between the canonical projection part of an uncertain third-order chaotic Rossler and the uncertain PENP systems. This article designs a new robust adaptive synchronization control (RASC) algorithm to address the above two challenges. The proposed controller achieves the FOS and ROS in a shorter transient time, and the synchronization error signals converge to the origin with faster rates in the presence of bounded unknown state-dependent and time-dependent disturbances. The Lyapunov direct method verifies this convergence behavior. The paper provides parameters updated laws that confirm the convergence of the uncertain parameters to some fixed values. The controller does not cancel the nonlinear terms of the plant; this property of the controller keeps the nonlinear terms in the closed-loop that results in the enhanced complexity of the dynamical system. The proposed RASC strategy is successful in synthesizing oscillation free convergence of the synchronization error signals to the origin for reducing the transient time and guarantees the asymptotic stability at the origin. The simulation results endorse the theoretical findings.

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Reduced-order synchronization of time-delay chaotic systems with known and unknown parameters

Cited by 25 publications

References 20 publications

Synchronization control of two identical three restricted body problems via active control

Synchronization control of two identical three restricted body problems via active control

Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity

Oscillation free robust adaptive synchronization of chaotic systems with parametric uncertainties

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