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arXiv · 2511.18126

A Lyapunov-Based Distri buted Framework for Complete and Phase Synchronization in Chaotic Multi-Agent Systems

Marzieh Basiri Abarghoei·Mohammad Reza Ahmadi Zand
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Abstract

This paper presents a distributed Lyapunov-based control framework for achieving both complete and phase synchronization in a class of leader-follower multi-agent systems composed of identical chaotic agents. The proposed approach introduces a novel nonlinear coupling mechanism and utilizes Lyapunov stability theory combined with matrix measure analysis to derive explicit synchronization conditions. In contrast to traditional LMI-based or adaptive methods, the present approach guarantees synchronization under limited topological information and reduced computational complexity. Three classical chaotic systems - Roessler, Lu, and Chen - are used to validate the theoretical results, confirming the superior convergence rate and robustness of the proposed scheme.

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Marzieh Basiri Abarghoei, Mohammad Reza Ahmadi Zand. 2025-11-22. A Lyapunov-Based Distri buted Framework for Complete and Phase Synchronization in Chaotic Multi-Agent Systems. https://arxiv.org/abs/2511.18126

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