Robust Resilient Base Containment Control of Fractional Order Multiagent Systems With Disturbance and Time Delays

ABSTRACT This article examines the resilient base containment control (CC) for fractional order multiple agent system with disturbance term in the dynamical system. In order to deal with resilient base CC in Riemann–Liouville sense with time delays, a simple and effective method is proposed where followers have weighted digraph topology among them. A disturbance factor is present into both linear and nonlinear delayed RL‐fractional‐order multiple agent systems (FMASs) with distributed time delays. This disturbance term effect the agents by introducing the uncertainty into the behavior of agents. In this article, Lyapunov technique, fractional calculus properties, and analytical methods are used to approach resilient base CC. The major benefit of this approach is that the first‐order derivative of Lyapunov function may be used to keep away from complex calculations, which effectively reduce troubles and difficulties resulting from time delays and fractional derivatives. At the end of our study, three illustration are provided to show the effectiveness and validity of our approach.