Leader-following Consensus Criteria for Multi-agent Systems with Time-delay and Static Interconnection Topology

This paper proposes new delay-dependent consensus criteria for multi-agent systems with time-varying delays and static interconnection topology. By constructing a suitable Lyapunov-Krasovskii's functional and utilizing convex-hull properties, new delay-dependent consensus criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.