Analysis and Synthesis of Emergent Behavior of Multi-agent Systems via Blended Dynamics Theorem


When a diverse set of dynamical systems are compelled to synchronize under a coupling condition, they display emergent behavior characterized by the blended dynamics. This phenomenon is crucial in designing heterogeneous multi-agent systems, where each agent collaborates towards a goal in a coordination. Such multi-agent systems or algorithms benefit from stability exchange among agents, an initialization-free nature allowing seamless integration or disengagement of agents, and resilience to production flaws and disturbances in node dynamics. Additionally, for each agent to undertake distinct tasks while aligning with others for a collective objective, certain internal variables of each agent must reach consensus, and the agreed-upon value should reflect some information about individual agents. We substantiate these points by demonstrating a few concrete examples.





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