## 1 Introduction
### Related Research
[16] introduced a multi-single integrator discrete time system containment control utilizing the directed graph theory methodology. They fixed the followers network topology based on the position of the leader. Furthermore, they investigated the containment control for a multi-single integrator dynamics system using a nonlinear projection algorithm. Finally, the containment control of multi-single integrator discrete-time systems under bounded network delays and switching topologies was examined. In a similar study a containment control for multi double integrator dynamics systems was introduced by [PERSON] et al. [17]. The graph theory method for the multi double integrator dynamics systems consensus was utilized. Furthermore, they examined a multi double integrator dynamics system containment control using a nonlinear projection algorithm coupled with non-convex control input constraints. [PERSON] et al. [18] developed a multi double integrator dynamics systems containment control. Based on the position leader, they fixed the network topology of the followers. In addition, they used the graph theory method for the multi double integrator dynamics systems consensus combined with edge-event-triggered control. In order to stabilize the containment control of multi double integrator dynamics systems they utilized a classical feedback linearisation controller. [PERSON] et al. [19] introduced a leader-follower containment control methodology for multi general linear dynamics systems. They studied the multi general linear dynamic systems with a directed network topology and active leaders. In addition, they utilized the graph theory for the directed network topology. Furthermore, they studied the containment control of multi general linear dynamic systems using off-policy reinforcement learning (RL). Finally, an algebraic Riccati equation was solved to calculate the containment gain matrices. [PERSON] et al. [20] developed an adaptive containment control for multi Euler-Lagrange systems. For the network topology between the multi Euler-Lagrange systems, the graph theory approach was used. In addition, the followers network topology depended on at least one leader. Then, they studied the containment control of multi Euler-Lagrange systems under unknown nonlinear dynamics, in which fuzzy logic control was used as an approximation technique. Finally, they utilised an adaptive control approach with fuzzy logic control (FLC) to stabilize the containment of multi Euler-Lagrange systems. [PERSON] et al. [21] proposed a containment control for multi high-order discrete-time systems. They used a fixed network topology between the leaders and an undirected network topology between the followers. For the multi high-order discrete-time systems consensus, they utilized the graph theory approach. Furthermore, they studied the containment control of a multi high-order discrete-time system using stochastic indecomposable and aperiodic (SIA) matrices. Finally, they studied a multi high-order discrete-time systems containment control under switching topologies. [PERSON] et al. [22] proposed a data-centric method for formation control of multiple UAVs. Exchanging the information between these UAVs is supported by a publisher and subscriber technique with a flexible set of quality of service rules that need to be fulfilled before the interaction between the publisher and subscriber. In addition, the \(\mathcal{L}_{1}\) controller was used to stabilize the multi-UAVs formation control. Finally, the repulsive feature is utilized to prevent collisions between the UAVs. [PERSON] and [PERSON] [23] proposed adaptive containment control of multi general nonlinear systems. They utilized the graph theory approach for the network topology between the multi general nonlinear systems. In addition, the network topology of the followers depended on at least one leader. Furthermore, they studied the containment control of multi general nonlinear systems under some immeasurable states, in which observer-based fuzzy logic control is used.