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Controllability Allocation Scores for Linear Infinite-Dimensional Systems

Daisuke Inoue, Kazuhiro Sato · 2026 · arXiv

DOI: 10.48550/arXiv.2610.28205 · open-access PDF

Abstract

We define finite-time controllability allocation scores (CASs) as optimal solutions to two convex optimization problems that allocate a fixed actuation budget among prescribed input functions of linear infinite-dimensional continuum systems with selected target outputs. The objectives are expressed using controllability Gramians for the selected outputs and correspond to maximizing the volume of output changes reachable with unit control energy or minimizing the mean energy required for unit output changes. To compute these CASs, we discretize the system in space, construct the resulting Grami

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