Lyapunov-Krasovskii functional

Consensus control of multi-agent systems with input delays: a descriptor model approach

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 des