IJCAS

This paper focuses on the problem of bipartite secure containment control for a specific class of discretetime multi-agent systems with multiple dynamic leaders. The followers are divided into two subgroups that cooperate within each subgroup and compete with the other subgroup. Similarly, the leaders exhibit cooperativecompetitive behavior towards these subgroups. The main objective is to ensure that cooperating followers gradually enter the dynamic convex hull formed by leaders while competing followers enter the opposite convex hull. To protect sensitive information, only the difference between the real state and the encrypted state of the position and velocity is quantized and transmitted, rather than the actual state itself. As a result, the permissible range of the gain parameters and other relevant parameters is determined. Furthermore, a precise definition of the minimum channel capacity is provided to understand the factors that influence the requirement for minimum channel capacity. Finally, an illustrative example is presented to demonstrate the effectiveness of the developed secure control method.

Keywords: Channel capacity, containment control, encryption&ndash,decryption approach, signed network.