Containment control for Riemann–Liouville fractional multi-agent singular systems with time–varying delays

In this paper, the problem of containment control (CC) for Riemann–Liouville fractional multi–agent singular systems (RL-FMSSs) with time-varying delays is considered. Non-delayed and delayed control strategies are designed for each follower. Applying Lyapunov direct method, properties of fractional calculus and analytical skills, linear matrix inequalities (LMI) conditions for RL-FMSSs to achieve CC are obtained. The main innovation of this paper is that one may directly calculate first-order derivative of the Lyapunov functions to study CC of RL-FMSSs. Finally, an example is provided to validate the correctness of our conclusions.