Synchronization analysis of stochastic coupled systems with time delay on networks by periodically intermittent control and graph-theoretic method

Synchronization of stochastic multiple weighted coupled networks with Markovian switching

“…During the past decades, coupled networks have attracted attention of many mathematicians and other scientists. They have extensive applications in various fields, such as power engineering and secure communication [1][2][3][4][5][6]. Therein, synchronization, as one of the most important dynamic characteristics of coupled networks, plays a significant role in many fields such as biological systems, chemical reactions, and information technology [7][8][9][10][11][12][13][14].…”

Pinning synchronization of nonlinear hybrid‐coupled complex networks with double time delays via aperiodically intermittent adaptive control

“…Thus, a lot of control methods such as linear or nonlinear feedback control, [4][5][6][7] adaptive control, [8][9][10][11][12] and sliding-mode control [13][14][15] have been studied extensively and deeply by researchers in various disciplines. Accordingly, these control methods can be continuous, [4][5][6][7][8][9][10][11][12][13][14][15] impulsive, [16][17][18][19] or intermittent [20][21][22][23][24][25][26][27][28][29][30][31][32] during the acquisition of complex network synchronization. Different from other control strategies, intermittent control is active in some time intervals and dormant in others, which shows that it has the feature of economy.…”

“…For example, by piecewise Lyapunov function, periodically intermittent control problem for linear complex system was studied based on the observer in Reference 25. While for the inner exponential synchronization, the periodically intermittent control method was applied to the stochastic coupled networks with time‐varying delays in Reference 26. On the base of discrete‐time state observations, a periodically intermittent control was introduced to discuss the synchronization of complex networks with stochastic disturbance in Reference 27.…”

Global Stability of Fractional Order Coupled Systems with Impulses via a Graphic Approach

“…It is difficult to get less conservative conditions to guarantee the global stability of a system. Recently, a new powerful tool is to apply graph theory to study the stability and synchronization of neural networks (see e.g., [37][38][39][40][41][42]. Inspired by the previous works, we consider the global stability of fractional-order coupled systems with impulses on digraph G.…”