Transient Bipartite Synchronization for Cooperative-Antagonistic Multiagent Systems With Switching Topologies

Area of Science:

• Control Systems Engineering
• Networked Systems
• Distributed Computing

Background:

• Multiagent systems often face challenges with cooperative-antagonistic dynamics and switching network topologies.
• Achieving synchronization in such complex systems, especially transiently, remains a significant research problem.

Purpose of the Study:

• To develop a distributed iterative learning control protocol for transient bipartite synchronization in cooperative-antagonistic multiagent systems.
• To address systems with switching topologies and ensure synchronization over a finite time horizon.

Main Methods:

• A distributed iterative learning control protocol is proposed, utilizing local information exchange between neighboring agents.
• The control input for each agent is updated iteratively based on learned information from its neighbors.
• Analysis is performed under conditions of structurally balanced and unbalanced signed digraphs.

Main Results:

• Transient bipartite synchronization is achieved, meaning all agents attain identical output moduli within a finite time interval.
• The proposed protocol effectively overcomes challenges posed by antagonistic interactions and non-repetitive topologies.
• Stability is demonstrated over a finite horizon even with a structurally unbalanced signed digraph.

Conclusions:

• The developed distributed learning control strategy is effective for achieving transient bipartite synchronization in complex multiagent systems.
• The findings offer a robust method for controlling systems with inherent antagonisms and dynamic network structures.
• Simulation results validate the practical applicability and effectiveness of the proposed control protocol.