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20182026
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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…

math.OC2020

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

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

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

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

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…