Loop Gain under Random Feedback
نویسندگان
چکیده
In this note, we consider the feedback connection of a plant M with a random matrix gain , and study the statistical properties of the loop gain L = M , under the hypothesis that the random feedback has a unitarily invariant distribution. This setup has interesting connections with two open problems related to the entropy of the plant, and to a probabilistic version of the multivariate Nyquist criterion.
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