Coherence Analysis for a Class of Polygon Networks With the Noise Disturbance

This study aims to analyze the network coherence of a class of polygonal networks under noise distribution. First, we derive the exact analytical solutions of first-order and second-order leaderless network coherence of a class of polygonal networks. Second, we investigate the impact of network topology on network coherence. The network coherence and robustness of the first-order leaderless networks are significantly improved with increasing the number of iterations. Finally, we demonstrate an approximately linear relationship between the second-order network coherence and the number of nodes in polygonal networks. These findings offer valuable insights into the dynamic properties and optimization strategies for polygonal networks.