Consensus Condition Based on Free-Matrix-Based Integral Inequality for Multi-Agent Systems with Time Delays

This paper proposes the consensus condition based on free-matrix-based integral inequality for multi-agent systems with time-varying delays. The use of free-matrix-based integral inequality derives increasing the freedom between the states and their derivatives. The simulation results of a numerical example show that the proposed criteria are less conservative than the existing criteria, and achieve a consensus of multi-agent systems.