Distributed consensus control for double-integrator fractional-order multi-agent systems with nonuniform time-delays

作者：Liu, Jun^*; Qin, Kaiyu; Li, Ping; Chen, Wei

来源：Neurocomputing, 2018, 321: 369-380.

DOI：10.1016/j.neucom.2018.09.010

• Consensus
• Double-integrator
• Fractional-order
• Multi-agent systems
• Nonuniform time-delays

This paper addresses the distributed consensus control for a double-integrator fractional-order multi agent system (DIFOMAS) with nonuniform time-delays. A general model of the DIFOMAS is introduced by such case: the dynamic model of each agent contains two state variables with different fractional orders. The consensus conditions on the two kinds of network topology and the nonuniform time-delays can be obtained by using the generic model: the DIFOMAS with symmetric time-delays over undirected topology, and the DIFOMAS with asymmetric time-delays over directed topology. With the help of matrix theory, Laplace transform and graph theory, two kinds of upper bounds of time-delays are derived to ensure the DIFOMAS with nonuniform time-delays can reach consensus. Finally, some numerical simulations with different parameters are offered to illustrate the feasibility and effectivity of the results derived.

• 出版日期2018-12-10
• 单位成都信息工程大学; 电子科技大学