On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

Abstract

We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in [5]. We also briefly discuss sufficient conditions for the existence of such a Lyapunov function.

References in corpus (1)

• Multi-agent coordination using nearest neighbor rules: revisiting the Vicsek model