On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms

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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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Optimization and Control

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http://salesiana.dossiersoluciones.com/handle/123456789/156378

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2876
 http://arxiv.org/abs/0706.2876

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arXiv