Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller

Synchronization of nonidentical chaotic neural networks with leakage delay and mixed time-varying delays

“…then the response neural network (35) can globally asymptotically synchronize the drive neural network (34), and the gain matrix K can be designed as…”

“…The provided conditions are expressed in terms of LMI, and are dependent on the discrete and distributed time delays as well as leakage delay. Differing from the results in [33][34][35], the main contributions of this study are to investigate the effect of the leakage delay on the synchronization of two nonidentical chaotic neural networks with discrete and distributed time-varying delays as well as leakage delay and to propose an integral sliding mode control approach to solving it.…”

“…When the parameters and activation functions of two chaotic neural networks mismatched, the synchronization criterion is also derived by sliding mode control approach. In [35], the projective synchronization for two nonidentical chaotic neural networks with constant delay was investigated, a delay-dependent sufficient condition was derived by sliding mode control approach, LMI technique and Lyapunov stability theory. However, to the best of the authors' knowledge, there are no results on the problem of synchronization for chaotic neural networks with leakage delay.…”

“…On the study for synchronization problem of two nonidentical chaotic systems, one usually adopts adaptive control approach to establish synchronization conditions, for example, see [30][31][32], and references therein. Recently, the integral sliding mode control approach is also employed to investigate synchronization of nonidentical chaotic delayed neural networks [33][34][35][36][37][38]. In [33], an integral sliding mode control approach is proposed to address synchronization for two nonidentical chaotic neural networks with constant delay.…”

Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities

“…Since the discovery of chaos synchronization, different approaches have been proposed to achieve it, such as PC method [24], active control method [1,71,12,66], adaptive control method [47,48,38,67], backstepping control method [53,28,29,52,30,68], sliding mode control method [73,51,56,69,23,63], etc.…”