Stability Analysis of Linear Multi-Agent Systems with Time Delays

Abstract

A stability condition is investigated for linear multi-agent systems with time delays. The condition is represented as a region in the complex plane where all of the eigenvalues of the agent interconnection matrix must exist. The region is specified by the transfer function of the agent. Furthermore, by employing the stability condition, a consensus condition is also investigated for directed networks of dynamic agents each of which is described by a linear time invariant system with a time delay.