activity
20172026
most citedStructure-preserving optimal model reduction based on Riemannian trust-region method

38 citations · 57 across the 17 of their papers we have counts for

collaborators

18 papers

math.OC2026

Contraction-Based Model Predictive Control using Bilinear Koopman Realizations with Proportional Error Bounds

Yuki Higuchi, Kazuhiro Sato

Data-driven model predictive control based on Koopman operator theory is a promising approach for constrained control of nonlinear systems with unknown dynamics. This paper propose…

math.OC2026

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics

Yuki Higuchi, Kazuhiro Sato

Data-driven model predictive control (MPC) using Koopman operator theory is a promising approach for constrained control of unknown nonlinear systems. While linear Koopman realizat…

cs.DM2026

Generalized Resistance Geometry from Kron Reduction and Effective Resistance

Yosuke Kajiura, Kazuhiro Sato

We develop a generalized resistance geometry for unsigned directed graphs and signed undirected graphs based on Kron reduction and effective resistance. For unsigned strongly conne…

math.OC2022★ 13 cited

Controllability scores for selecting control nodes of large-scale network systems

Kazuhiro Sato, Shun Terasaki

To appropriately select control nodes of a large-scale network system, we propose two control centralities called volumetric and average energy controllability scores. The scores a…

math.OC2022

Structured Output Feedback Control for Linear Quadratic Regulator Using Policy Gradient Method

Shokichi Takakura, Kazuhiro Sato

We consider the static output feedback control for Linear Quadratic Regulator problems with structured constraints under the assumption that system parameters are unknown. To solve…

cs.DM2022

Kron Reduction and Effective Resistance of Directed Graphs

Tomohiro Sugiyama, Kazuhiro Sato

In network theory, the concept of effective resistance is a distance measure on a graph that relates the global network properties to individual connections between nodes. In addit…

math.OC2021

-Optimal Reduction of Positive Networks using Riemannian Augmented Lagrangian Method

Sota Misawa, Kazuhiro Sato

In this study, we formulate the model reduction problem of a stable and positive network system as a constrained Riemannian optimization problem with the -error objective func…

math.OC2021

Stable Linear System Identification with Prior Knowledge by Riemannian Sequential Quadratic Optimization

Mitsuaki Obara, Kazuhiro Sato, Hiroki Sakamoto +2

We consider an identification method for a linear continuous time-invariant autonomous system from noisy state observations. In particular, we focus on the identification to satisf…

math.OC2021★ 1 cited

Minimal controllability problem on linear structural descriptor systems with forbidden nodes

Shun Terasaki, Kazuhiro Sato

We consider a minimal controllability problem (MCP), which determines the minimum number of input nodes for a descriptor system to be structurally controllable. We investigate the…

math.OC2020★ 1 cited

Minimal controllability problems on linear structural descriptor systems

Shun Terasaki, Kazuhiro Sato

We consider minimal controllability problems (MCPs) on linear structural descriptor systems. We address two problems of determining the minimum number of input nodes such that a de…

math.OC2020★ 1 cited

Reduced model reconstruction method for stable positive network systems

Kazuhiro Sato

We consider a reconstruction problem of a reduced stable positive network system with the preservation of the original interconnection structure based on an optimal model red…

math.OC2020

Controllability maximization of large-scale systems using projected gradient method

Kazuhiro Sato, Akiko Takeda

In this work, we formulate two controllability maximization problems for large-scale networked dynamical systems such as brain networks: The first problem is a sparsity constraint…

math.OC2018★ 1 cited

Riemannian optimal identification method for linear systems with symmetric positive-definite matrix

Kazuhiro Sato, Hiroyuki Sato, Tobias Damm

This study develops identification methods for linear continuous-time symmetric systems, such as electrical network systems, multi-agent network systems, and temperature dynamics i…

math.OC2018★ 38 cited

Structure-preserving optimal model reduction based on Riemannian trust-region method

Kazuhiro Sato, Hiroyuki Sato

This paper studies stability and symmetry preserving optimal model reduction problems of linear systems which include linear gradient systems as a special case. The problem i…

math.OC2018★ 1 cited

Riemannian optimal model reduction of stable linear systems

Kazuhiro Sato

In this paper, we develop a method for solving the problem of minimizing the error norm between the transfer functions of original and reduced systems on the set of stable ma…

math.OC2018★ 1 cited

Optimal leader selection and demotion in leader-follower multi-agent systems

Kazuhiro Sato

We consider leader-follower multi-agent systems that have many leaders, defined on any connected weighted undirected graphs, and address the leader selection and demotion problems.…

math.OC2018

Optimal Graph Laplacian

Kazuhiro Sato

This paper provides a construction method of the nearest graph Laplacian to a matrix identified from measurement data of graph Laplacian dynamics that include biochemical systems,…

math.NA2017

Numerical solution of Lyapunov equations related to Markov jump linear systems

Tobias Damm, Kazuhiro Sato, Axel Vierling

We suggest and compare different methods for the numerical solution of Lyapunov like equations with application to control of Markovian jump linear systems. First, we consider fixe…