Title :
Loop gain under random feedback
Author :
Calafiore, Giuseppe ; Dabbene, Fabrizio
Author_Institution :
Politecnico di Torino, Italy
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
Keywords :
Nyquist criterion; feedback; matrix multiplication; probability; robust control; statistical analysis; transfer function matrices; γ-entropy; feedback connection; loop gain; probabilistic multivariate Nyquist criterion; random feedback; random matrix gain; statistical properties; unitarily invariant distribution; Entropy; Feedback loop; Frequency locked loops; Joining processes; Open loop systems; Probability; Robust control; Stability; Symmetric matrices; Volume measurement;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981005
