Finite-Time Synchronization for Complex Networks via Guaranteed Cost Intermittent Pinning Quantized Control

Generally, complex networks can finite-time synchronization by an appropriate controller with any control gain. In this paper, an optimal guaranteed cost pinning quantized control is designed to realize finite-time synchronization of complex networks. The control schemes presented include both continuous pinning quantized controllers and intermittent pinning quantized controllers. Based on designed Lyapunov function and guaranteed cost finite-time pinning quantized techniques, sufficient conditions for the guaranteed cost intermittent pinning quantized and continuous pinning quantized control laws are formulated in terms of matrix inequalities. Meanwhile, the guaranteed cost is a nonlinear function, which can be addressed nonlinear programming algorithm. The results not only can guarantee adequate level performance but also reduce control cost and save channel resources, and it was rarely considered in the previous literature. Finally, the guaranteed cost periodically intermittent pinning quantized and continuous pinning quantized control strategies are illustrated by simulations.