Exponential synchronization of stochastic perturbed complex networks with time-varying delays via periodically intermittent pinning

Stability and synchronization of memristor-based coupling neural networks with time-varying delays via intermittent control

“…In the real world, the periodically intermittent control has been used for a variety of purposes such as communication manufacturing and transportation. Over the past few decades, stability and synchronization of neural networks via intermittent control have been carried out [22][23][24][25]. In [22], exponential stability was studied using memristor-based chaotic neural networks with time-varying delays via intermittent control.…”

Exponential Synchronization of Two Complex Dynamical Networks of Random Disturbance with Both Mixed Coupled and Time-Varying Delay by Pinning Control

“…Almost all of the well-known chaotic systems belong to the function class QUAD, such as the Lorenz system, the Rössler system, the Chen system, the delayed Chua's circuit, the delayed Hopfield neural network and the logistic delayed differential system [21,23]. Lemma 1.…”

“…The assumptions are common in the literature on stochastic complex networks with time-varying delay, such as [21,23,27,[38][39][40]. Assumption H1 restricts the time delay, and Assumption H2 restricts the noise strength.…”

“…It is a phenomenon that has been widely investigated since it was discovered by Pecora and Carroll in 1990 [8]. Many synchronization patterns have been explored (for example, complete synchronization [9][10][11], cluster synchronization [12,13], phase synchronization [14], partial synchronization [15], projective synchronization [16,17]), and synchronization can be achieved by the use of pinning control [18,19], adaptive control [20][21][22], intermittent control [23], impulsive control [24,25], fuzzy control [26], hybrid control [27] or active control [28].…”

Exponential Synchronization of a Class of N-Coupled Complex Partial Differential Systems with Time-Varying Delay

“…Several control schemes, such as adaptive, impulsive, and pinning control, have been reported [7][8][9][10]. Scholars have used various methods to study asymptotical synchronization, exponential synchronization, passivity synchronization, and ∞ synchronization, for different complex networks, and have achieved fruitful results [11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”