Intermittent hold control for exponential synchronization of fractional-order delayed complex networks with its application

The paper focuses on synchronization problems of a type of fractional-order complex systems with delays. First, a general exponential stability theorem is achieved by utilizing function of complex variable method and fractional-order calculus, which can handle a type of multiple delayed complex systems. Then, a novel intermittent-hold control is designed, which can reduce the information transmission by flexibly adjusting the control interval. Next, through the proposed theorem and controller, exponential synchronization results can be obtained by constructing simple Lyapunov functional. Meanwhile, the control gains can be calculated by linear matrix inequality. Finally, two simulations are given to show the effectiveness of the proposed results, and some comparisons with different control times and holding times verify the flexibility of control time selection.