Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator
Chunde Yang, Wenjing Li, Wei Qiu Zhu · Discrete Dynamics in Nature and Society · 2017
In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies 0<α<2 . Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.