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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.
Liu et al. (Thu,) studied this question.