ν-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties

2022/04/11 by Olle Kjellqvist, John C. Doyle, Kjellqvist, Olle +1
Computer Science · Engineering · #Advanced Control Systems Optimization #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Stability and Control of Uncertain Systems

paper · pdf · doi:10.48550/arxiv.2204.05359

openalex publication_date 2022/04/11 · openalex created_date 2022/04/15 · openalex updated_date 2026/07/28

Abstract

We present a new, scalable alternative to the structured singular value, which we call ν, provide a convex upper bound, study their properties and compare them to ℓ₁ robust control. The analysis relies on a novel result on the relationship between robust control of dynamical systems and non-negative constant matrices.

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