Abstract
This paper presents an analysis method, based on linear matrix inequalities, for consensus with estimated convergence rate, in the presence of input delays. It is assumed that the delays are nonuniform, time-varying, and possibly non-differentiable. The proposed approach consists in rewriting the multi-agent system as a reduced-order delayed linear system, such that consensus can be analyzed by means of Lyapunov-Krasovskii stability theory. Finally, the efficiency of the proposed method is verified by numerical simulations.
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