1,721,058 research outputs found

    Loop Gain under Random Feedback

    No full text
    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 criterio

    Randomized Algorithms for Probabilistic Robustness with Structured Uncertainty

    No full text
    In this paper, randomized algorithms for stability and performance of linear time invariant uncertain systems described by a general M-Δ configuration are studied. On the contrary of the worst-case approach, which is often not tractable in the NP-hardness sense, this problem turns out to be solvable in a probabilistic setting. In particular, efficient polynomial-time algorithms for uncertainty structures Δ consisting of an arbitrary number of full complex blocks and uncertain parameters, real or complex and possibly repeated, are develope
    corecore