(Lviv Polytechnic National University, 2019) Lyubchyk, L. M.; Dorofieiev, Yu. I.
This paper addresses the consensus control design for multi-agent systems with input time delay, which is unknown but bounded. Descriptor transformation is used to obtain a model without delay for closed-loop individual agent. The sufficient conditions for global consensus under directed communication topology are identified using Lyapunov–Krasovskii functional. To analyze the stability of the networked multi-agent system based on the relationship between the agents, the Lyapunov function method using corresponding comparison system is used. The effectiveness of the proposed control design method is demonstrated by a numerical simulation example.
