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On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms
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On the Nonexistence of Quadratic Lyapunov Functions for Consensus Algorithms
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math.OC
keywords
lyapunovalgorithmsconsensusfunctionquadraticagreementbeenbriefly
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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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