Leader-Following consensus of chaotic fractional-order multi-agent systems using distributed adaptive protocols

In this study, the problem of consensus of multi-agent chaotic systems of fractional order is considered. Using the fractional order derivative in Caputo s sense and the classical stability theorem of linear fractional order systems as well as algebraic graph theory, sufficient conditions are provided to ensure consensus for fractional multi-agent systems. The distributed adaptive protocols of each agent are designed using local information and a detailed analysis of the leader-following consensus is presented. Some numerical simulation examples are provided to show the effectiveness of the proposed results.