Polynomial-time computation of the ν robustness measure

From papers

Let ν\nu denote the paper's robustness measure for systems with structured uncertainties, and let arbitrary precision mean that the computed value can be made to have any prescribed accuracy.

Polynomial-time computation conjecture. There exists a polynomial-time algorithm to compute ν\nu within arbitrary precision.

Such an algorithm would make the proposed robustness measure computationally tractable for large-scale systems and complement the distributed methods developed for its convex upper bound. The source states this as a concluding research conjecture and supplies no algorithm or proof establishing it.

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Sources & referencesView supporting material

Primary source

Olle Kjellqvist and John C. Doyle, “ν-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties”, arXiv:2204.05359 (2022).

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