On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

Details On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

2007-06-19

arxiv.org/abs/0706.2876v2

Mathematics

Optimization and Control

Scientific paper

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.

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