Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes

Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays

“…What should be emphasized is that Assumption 1 is reasonable and widely applied. Assumption 1 is generally and commonly adopted, see [7,8,10,11]. If the delay is too large or the delay changes too fast, the controller will fail.…”

“…The synchronous error e i (t) is shown in Figure 1, where s(0) = [1.5, −4.4, 0.15] T . Obviously, the zero error is globally asymptotically stable for (8). Thus, the designed controller can make the closed-loop systems asymptotically stable.…”

“…Ever since small-world and scale-free features were discovered in many real-world networks (see [1,2] and the references therein) synchronization in complex dynamical network has attracted much attention for its potential application in [3][4][5][6][7][8][9][10][11][12][13]. It is motivated by a broad area of potential applications: Networks of robots, formations of flying and underwater vehicles, control of industrial, electrical, communication, and production networks, etc.…”

Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects

“…From the view of real world, this assumption is impractical for complex networks including all kinds of nodes that usually have different physical parameters [ 33 ]. As far as we know, in the previous literature, authors have extensively studied synchronization problems of complex networks with non-identical nodes [ 34 , 35 , 36 ]. In [ 34 ], impulsive complex networks with delayed nonidentical nodes were investigated by Razumikhin technique, a convex combination technique and time varying Lyapunov function.…”

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].…”