Chaos synchronization of different chaotic systems subjected to input nonlinearity

Synchronization of nonlinear master–slave systems under input delay and slope‐restricted input nonlinearity

“…By application of the LPV approach, the error dynamics (5) is converted into an equivalent LPV representation, given by (13) and (14). This LPV-based transformation, in contrast to the conventional adaptive treatments [16,17] and [19,20], allows computation of a controller gain matrix, by relaxing adaptive terms, in the presence of additional constraints like input delay.…”

“…In [18,19], adaptive control, and H 1 control strategies for achieving coherent behavior of two uncertain systems under unknown dynamics and perturbations are formulated. Some advanced studies concerning robust, sliding mode, and adaptive controller design for synchronization of general forms of two different nonlinear or chaotic systems under uncertainties and perturbations have been taken into account in [20][21][22]. However, to the best of our cognizance, a feedback controller design criterion for delay-range-dependent synchronization of the nonlinear master-slave systems under slope-restricted input nonlinearities and time-varying input time-delay has not been reported in the previous studies.…”

“…The delay-dependent controller design approach in Corollary 1 is new and useful than the existing synchronization methods [16,17] and [19][20][21][22] dealing with the sloperestricted input nonlinearities owing to incorporation of the input delay. Note that Corollary 1 is derived by considering a specific scenario of the main result in Theorem 2, that is, s 1 50.…”

Lyapunov-based synchronization of two coupled chaotic Hindmarsh-Rose neurons

“…Since the discovery of chaotic synchronization [8], various modern control methods have been proposed for achieving the synchronization of chaotic systems in recent years [8][9][10][11]. In neuroscience, most investigations have focused on the synchronization of two coupled neurons, whose resolution aids in the understanding of the synchronization processes in neural networks [12-31, and reference therein].…”

Adaptive Control for the Stabilization and Synchronization of Nonlinear Gyroscopes

“…On the other hand, for synchronization, two systems are required to co-operate with each other, of which many potential applications abounds in secure communication systems, laser, biological systems and other areas [10,11,14,15]. For this reason, the study of chaos synchronization has grown and a wide variety of approaches have been proposed for the synchronization of chaotic systems [4,[9][10][11][16][17][18][19][20][21].…”