Stabilizability of multi-agent systems over finite fields via fully actuated system approaches

The problem of stabilizability of high-order fully actuated (HOFA) multi-agent systems over finite fields is considered in this paper.The necessary and sufficient conditions for the stabilizability of HOFA multi-agent systems are presented, which indicates the stabilizability is closely related to the interaction topology among agents.Using the full-actuation property of HOFA models, a stabilization control protocol with neighbor interaction is given for HOFA multi-agent systems.Additionally, when the multi-agent system is stabilizable, the time for the system to reach a stable state can be determined through the control protocol.Finally, the results are employed to solve the formation control problem, and some sufficient and/or necessary conditions are proposed.Numerical examples are presented to demonstrate the effectiveness of the proposed results.