Quasi-synchronization for complex networks with hybrid pinning intermittent control.

Abstract

This work studies the quasi-synchronization of complex networks with parameter mismatches and limited communication resources. To overcome these constraints, a hybrid pinning intermittent control strategy is proposed. This strategy improves control efficiency by integrating zero-input and input-holding mechanisms. To capture the dynamics across multiple control phases, a switching-mode synchronization error system is formulated, and a piecewise Lyapunov-Krasovskii functional is designed. To address input delays in the maintenance phase, delay-dependent terms are incorporated and combined with an exponential decay condition, which yields tractable matrix inequalities. Simulation results demonstrate the efficiency, effectiveness, and robustness of the proposed approach.