A Lyapunov-Based Distri buted Framework for Complete and Phase Synchronization in Chaotic Multi-Agent Systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908670673027072 |
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| author | Abarghoei, Marzieh Basiri Zand, Mohammad Reza Ahmadi |
| author_facet | Abarghoei, Marzieh Basiri Zand, Mohammad Reza Ahmadi |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_18126 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Lyapunov-Based Distri buted Framework for Complete and Phase Synchronization in Chaotic Multi-Agent Systems Abarghoei, Marzieh Basiri Zand, Mohammad Reza Ahmadi Dynamical Systems 37B25, 37C70 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. |
| title | A Lyapunov-Based Distri buted Framework for Complete and Phase Synchronization in Chaotic Multi-Agent Systems |
| topic | Dynamical Systems 37B25, 37C70 |
| url | https://arxiv.org/abs/2511.18126 |