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This study addresses the group controllability of continuous‐time multi‐agent systems. The problem is investigated in the leaderless framework where the whole group is consisted of a number of dynamic agents with autonomous capability, which can complete the large‐scale complex task through local interaction and can be divided into some subgroups. This study concentrates on the group controllability problems of continuous‐time multi‐agent systems, gives the general definition of the group controllability, and establishes group controllability criteria. Sufficient and necessary conditions are derived for the group controllability of continuous‐time multi‐agent systems. Finally, the numerical example and simulations are given to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]

This study involves an examination of the dynamic consensus problem for networks of double‐integrator agents with aperiodic impulsive protocol and fixed topology. With respect to each agent, the control law is designed based on relative state measurements (i.e. position and velocity) between the agent and the neighbouring agents at a few discrete times. Additionally, these state measurements can include time‐varying measurement delays. The theory of impulsive differential equations is used to prove that the dynamic consensus can be achieved under the condition of a graph with a spanning tree and to provide the consensus state finally reached by all agents. Furthermore, the study establishes algebraic inequalities that should be satisfied by the control gains, the bounds of impulsive interval lengths, and the upper bound of delays. Two numerical examples are illustrated to validate the main results. [ABSTRACT FROM AUTHOR]