Lag quasisynchronization of coupled delayed systems with parameter mismatch by periodically intermittent control

Adaptive exponential lag synchronization for neural networks with mixed delays via intermittent control

“…In many practical situations, due to the finite transmission speed of signals, it is more reasonable to require the response system to synchronize with the drive system at a time lag rather than at exactly the same time [12][13][14][15]. For example, in a telephone communication system, the voice one hears on the receiver side at time t is the voice from the transmitter side at time t -τ [12,13]. Therefore, how to effectively make two chaotic systems achieve lag synchronization is an important issue which deserves detailed investigation.…”

“…Hence, time delays should be taken into account when exploring the dynamics of neural networks. In the light of these facts, many efforts have been made devoted to the study of lag synchronization of delayed chaotic systems and delayed neural networks in recent years [11][12][13][14][15][19][20][21][22][23]. For instance, the problem of lag synchronization control for memristor-based coupled delayed neural networks with parameter mismatches was explored in [11].…”

“…For instance, the problem of lag synchronization control for memristor-based coupled delayed neural networks with parameter mismatches was explored in [11]. In [12], the effect of parameter mismatch on lag synchronization of coupled delayed systems was investigated by periodically intermittent control. In [13], the exponential lag synchronization for neural networks with mixed delays was considered via periodically intermittent control.…”

“…In order to guarantee synchronization between two chaotic systems can be realized, several control schemes have been proposed, such as feedback control, adaptive control, intermittent control and impulsive control [12][13][14][15][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Intermittent control, as a discontinuous control method, has been adopted in engineering fields in view of its convenient implementation in engineering control [33][34][35][36][37][38].…”

“…Intermittent control, as a discontinuous control method, has been adopted in engineering fields in view of its convenient implementation in engineering control [33][34][35][36][37][38]. Recently, an intermittent control scheme with fixed both control period and control width, namely periodically intermittent control scheme, has been developed to study the synchronization problem for chaotic systems as well as dynamical networks; see [12,13,[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] and references cited therein. However, in practical applications, the requirement that both control period and control width be fixed is evidently unreasonable.…”