In this paper, an adaptive output error feedback control scheme is proposed for the lag-synchronization of two time-delayed chaotic systems in the presence of channel time-delay, external disturbances and input nonlinearity. Using the Lyapunov theory, stability of the proposed adaptive controller is proved. Lyapunov-Krasovskii approach is used to deal with the existence of time-delay in the system dynamics. Finally, two numerical simulations are presented to illustrate the effectiveness of the developed method.
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http://dx.doi.org/10.1063/1.3660326 | DOI Listing |
Sci Rep
February 2021
Department of Mathematics, Pusan National University, Busan, 46241, Republic of Korea.
Synchronization plays a significant role in information transfer and decision-making by neurons and brain neural networks. The development of control strategies for synchronizing a network of chaotic neurons with time delays, different direction-dependent coupling (unidirectional and bidirectional), and noise, particularly under external disturbances, is an essential and very challenging task. Researchers have extensively studied the synchronization mechanism of two coupled time-delayed neurons with bidirectional coupling and without incorporating the effect of noise, but not for time-delayed neural networks.
View Article and Find Full Text PDFPhys Rev E
April 2017
Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.
We investigate the influence of time-delayed coupling in a ring network of nonlocally coupled Stuart-Landau oscillators upon chimera states, i.e., space-time patterns with coexisting partially coherent and partially incoherent domains.
View Article and Find Full Text PDFChaos
December 2013
CSIR-Indian Institute of Chemical Biology, Jadavpur, Kolkata 700032, India.
Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems, and time-delayed systems. It is characterized by a lag configuration that identifies a unique time shift between all pairs of similar state variables of the coupled systems. In this report, an attempt is made how to induce multiple lag configurations in coupled systems when different pairs of state variables attain different time shift.
View Article and Find Full Text PDFChaos
December 2013
Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
We explore and experimentally demonstrate the phenomena of amplitude death (AD) and the corresponding transitions through synchronized states that lead to AD in coupled intrinsic time-delayed hyperchaotic oscillators interacting through mean-field diffusion. We identify a novel synchronization transition scenario leading to AD, namely transitions among AD, generalized anticipatory synchronization (GAS), complete synchronization (CS), and generalized lag synchronization (GLS). This transition is mediated by variation of the difference of intrinsic time-delays associated with the individual systems and has no analogue in non-delayed systems or coupled oscillators with coupling time-delay.
View Article and Find Full Text PDFChaos
June 2012
School of Electrical and Computer Engineering, Shiraz University, Shiraz, Iran.
In this letter, a simple adaptive output-feedback controller is designed for lag-synchronization of two multiple time-delayed chaotic systems in the presence of uncertainty, external disturbances, and input nonlinearity. Based on Lyapunov stability theorem and adaptive techniques, sufficient conditions for lag-synchronization of these two systems are achieved. To deal with the existence of unknown time-delays in the system dynamics, the novel Lyapunov-Krasovskii functionals are used.
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