Consensus and Phase Synchronization of Multi-agent Systems using Adaptive Models

In this paper, an adaptive models for the consensus and phase synchronization of coupled oscillators have been implemented. By using these models, consensus can be achieved by using different graph topologies, in which agents are converged to their average velocity within the minimum number of iterations. Moreover, the phase synchronization of coupled oscillators interacting on connected graphs is also addressed. The synchronization shows that all coupled oscillators can synchronized their position and velocity with respect to neighboring agents. In the end, the simulations of consensus and phase synchronization validate the theoretical results.