We consider the feedback connection of a plant M with a random matrix gain Δ, and study the statistical properties of the loop gain L = MΔ, under the hypothesis that the random feedback A has a unitarily invariant distribution. This setup has interesting connections with two open problems related to the γ-entropy of the plant, and to a probabilistic version of the multivariate Nyquist criterion

Loop Gain under Random Feedback / Calafiore, Giuseppe Carlo; Dabbene, F.. - STAMPA. - 5:(2001), pp. 5016-5019. (Intervento presentato al convegno 40th IEEE Conference on Decision and Control tenutosi a Orlando, FL nel 04-7 Dec 2001) [10.1109/.2001.981005].

Loop Gain under Random Feedback

CALAFIORE, Giuseppe Carlo;
2001

Abstract

We consider the feedback connection of a plant M with a random matrix gain Δ, and study the statistical properties of the loop gain L = MΔ, under the hypothesis that the random feedback A has a unitarily invariant distribution. This setup has interesting connections with two open problems related to the γ-entropy of the plant, and to a probabilistic version of the multivariate Nyquist criterion
2001
0780370619
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1408964
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