Containment control analysis of delayed nonlinear fractional‐order multi‐agent systems
Denghao Pang, Song Liu, Xiao‐Wen Zhao · Mathematical Methods in the Applied Sciences · 2024
This paper considers containment control (CC) of delayed nonlinear fractional‐order multi‐agent systems (FMASs). A reliable and effective method is proposed to deal with the difficulties brought from fractional calculus and delays. Utilizing improved Razumikhin method, algebraic graph theory, and matrix analysis technique, several simple algebraic conditions are provided to solve CC by choosing nondelayed or delayed communication protocols, respectively. Numerical results are also offered to clarify the efficiency of our theoretical method.