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math.OC2026
Projected-Gradient Analysis for Open-Domain Convex Optimization under Boundary Blow-Up:Application to Controllability Scoring
Kazuhiro Sato
We study convex optimization over a compact convex set when the objective is smooth and convex only on an open domain. Under a boundary-blow-up condition, every feasible initializa…
math.OC2026
Relationship Between Controllability Scoring and Optimal Experimental Design
Kazuhiro Sato
Controllability scores provide control-theoretic centrality measures that quantify the relative importance of state nodes in networked dynamical systems. We establish a structural…
math.OC2026
Infinite-horizon controllability scores for linear time-invariant systems
Kota Umezu, Kazuhiro Sato
We formulate infinite-horizon controllability scores for linear time-invariant systems whose conventional controllability Gramians may diverge. A mode-dependent scaling yields fini…