Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays

Zhang, Chuan; Wang, Xingyuan; Unar, Salahuddin; Wang, Yu

doi:10.1016/j.physa.2019.04.221

Cited by 16 publications

(6 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the concept of synchronization was first proposed by Pecora and Carroll [15], many researchers have investigated this hot topic, and many different synchronization types have been introduced, such as asymptotic synchronization [16,17], exponential synchronization [14,[18][19][20], finite-time synchronization [21][22][23][24][25][26][27][28][29], and so on.…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control

Wu,

Wang,

et al. 2023

Mathematics

View full text Add to dashboard Cite

This paper considers the fixed-time synchronization of complex-valued coupled networks (CVCNs) with hybrid perturbations (nonlinear bounded external perturbations and stochastic perturbations). To accomplish the target of fixed-time synchronization, the CVCNs can be separated into their real and imaginary parts and establish real-valued subsystems, a novel quantized controller is designed to overcome the difficulties induced by complex parameters, variables, and disturbances. By means of the Lyapunov stability theorem and the properties of the Wiener process, some sufficient conditions are presented for the selection of control parameters to guarantee the fixed-time synchronization, and an upper bound of the setting time is also obtained, which is only related to parameters of both systems and the controller, not to the initial conditions of the systems. Finally, a numerical simulation is given to show the correctness of theoretical results and the effectiveness of the control strategy.

show abstract

Section: Introductionmentioning

confidence: 99%

Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control

Wu,

Wang,

et al. 2023

Mathematics

View full text Add to dashboard Cite

show abstract

“…Exponential synchronization is achieved for a complex-valued chaotic network by adaptive feedback control and intermittent control schemes [33]. Finite-time synchronization is realized for a class of nonlinear complexvalued networks with time-varying delays by Lyapunov stability theory [34]. Moreover, the signals transmitted by complex-valued networks possess stronger anti-attack ability [31,35].…”

Section: Introductionmentioning

confidence: 99%

Dynamics and synchronization of a complex-valued star network

Chai

Liu

Chen

et al. 2021

Sci. China Technol. Sci.

View full text Add to dashboard Cite

Complex networks have been extensively investigated in recent years. However, the dynamics, especially chaos and bifurcation, of the complex-valued complex network are rarely studied. In this paper, a star network of coupled complex-valued van der Pol oscillators is proposed to reveal the mechanism of star coupling. By the aid of bifurcation diagram, Lyapunov exponent spectrum and phase portrait in this study, chaos, hyper-chaos, and multi-existing chaotic attractors are observed from the star network, although there are only periodic states in a complex-valued van der Pol oscillator. Complexity versus coupling strength and nonlinear coefficient shows that the bigger the network size, the larger the parameter range within the chaotic (hyper-chaotic) region. It is revealed that the chaotic bifurcation path is highly robust against the size variation of the star network, and it always evolves to chaos directly from period-1 and quasi-periodic states, respectively. Moreover, the coexistence of chaotic phase synchronization and complete synchronization among the peripherals is also found from the star network, which is a symmetrybreaking phenomenon.

show abstract

“…Many practical applications need FTS in which the tracking error converges to zero in settling time. 21 For example, using the master-slave system synchronization configuration, the fast convergence behavior in secure communication systems is necessary for the quick recovery of the secrete data without interruption. This characteristic of the FTS recovers the data signal in a given finite-time restraining the hacking duration.…”

Section: Introductionmentioning

confidence: 99%

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

Ahmad¹,

Shafiq

2021

Proceedings of the Institution of Mechanical Engineers, Part I:

View full text Add to dashboard Cite

This article reports the design of a novel finite-time robust nonlinear controller for the synchronization of two identical chaotic spacecraft. The proposed controller does not cancel nonlinear terms appearing in the chaotic spacecraft dynamics. Avoiding the cancelation of the nonlinear terms of the plant by the controller makes the closed-loop robust stable in the presence of uncertainties in the chaotic spacecraft parameters; this concept blooms base for the design of computationally efficient simple control law. The proposed finite-time robust nonlinear controller (1) synchronizes two nearly identical chaotic spacecraft in finite-time duration, (2) expedites the convergence of errors vector to zero without oscillation, and (3) eradicates the effects of external disturbances. Analysis based on the Lyapunov second theorem proves that the synchronization error converges fast and verifying the closed-loop’s robust global stability. The finite-time stability technique affirms the convergence of the synchronization error to zero in settling time. This research article also studies the effects of the exogenous disturbances and the controller parameter’s slowly smooth variations on the closed-loop performance. The controller parameter variation analysis sets the procedure for tuning the controller parameters. The computer-based simulation results validate the theoretical findings and provide a comparative performance analysis with the other recently proposed synchronization feedback controllers. This article uses Mathematica 12.0 version in the Microsoft 10 environment for all the simulations.

show abstract

Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays

Cited by 16 publications

References 37 publications

Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control

Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control

Dynamics and synchronization of a complex-valued star network

Synchronization control of externally disturbed chaotic spacecraft in pre-assigned settling time

Contact Info

Product

Resources

About