Integrating Cooperative Influence and Memory Dynamics: An Adaptive Framework for Distributed Coordination

Le résumé fourni par la source

This paper presents an adaptive distributed coordination framework designed for synchronizing networks of oscillators by introducing two novel virtual dynamic states. These states facilitate cooperative behavior and enable memory-based adaptation within the network. Specifically, the Adaptive Virtual Cooperative Influence (AVCI) dynamically adjusts the cooperative interactions based on local frequency deviations, while the Virtual Influence Memory (VIM) accumulates historical interaction data to regulate the influence distribution and mitigate persistent dependency effects. A rigorous Lyapunov-based analysis is provided, proving the $\mathcal{D}$-global asymptotic stability of the resulting closed-loop system. Numerical simulations demonstrate that the interplay between AVCI and VIM enhances coordination, counteracting the individualities of the oscillators, even in the event of improperly parameterized local controllers.

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