activity
20242026
most citedUniqueness Analysis of Controllability Scores and Their Application to Brain Networks

3 citations · 3 across the 9 of their papers we have counts for

collaborators

10 papers

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…

math.OC2025

Model-Free Design and Analysis of 2DOF PI Controller for Noisy LTI Systems

Taiga Kiyota, Kazuhiro Sato

Set-point tracking for systems with unknown model parameters is a fundamental problem in control, and two-degree-of-freedom (2DOF) Proportional-Integral (PI) controllers -- consist…

math.OC2025

Extension of Controllability Score to Infinite-Dimensional Systems

Yuito Nakabe, Kazuhiro Sato

Centrality analysis in dynamical network systems is essential for understanding system behavior. In finite-dimensional settings, controllability scores -- namely, the Volumetric Co…

math.OC2025

Performance bound analysis of linear consensus algorithm on strongly connected graphs using effective resistance and reversiblization

Takumi Yonaiyama, Kazuhiro Sato

We study the performance of the linear consensus algorithm on strongly connected directed graphs using the linear quadratic (LQ) cost as a performance measure. In particular, we de…

math.OC2025

Controllability scores of linear time-varying network systems

Kota Umezu, Kazuhiro Sato

For large-scale network systems, network centrality based on control theory plays a crucial role in understanding their properties and controlling them efficiently. The controllabi…

math.OC2024

NOMADS: Non-Markovian Optimization-based Modeling for Approximate Dynamics with Spatially-homogeneous Memory

Ryoji Anzaki, Kazuhiro Sato

We propose a system identification method, Non-Markovian Optimization-based Modeling for Approximate Dynamics with Spatially-homogeneous memory (NOMADS), for identifying linear dyn…

math.OC2024★ 3 cited

Uniqueness Analysis of Controllability Scores and Their Application to Brain Networks

Kazuhiro Sato, Ryohei Kawamura

Assessing centrality in network systems is critical for understanding node importance and guiding decision-making processes. In dynamic networks, incorporating a controllability pe…

math.OC2024

The Nearest Graph Laplacian in Frobenius Norm

Kazuhiro Sato, Masato Suzuki

We address the problem of finding the nearest graph Laplacian to a given matrix, with the distance measured using the Frobenius norm. Specifically, for the directed graph Laplacian…