Hiroyuki Sato

collaborators

3 papers

math.OC2022

Riemannian optimization on unit sphere with $p$ -norm and its applications

Hiroyuki Sato

This paper deals with Riemannian optimization on the unit sphere in terms of $p$ -norm with general $p > 1$ . As a Riemannian submanifold of the Euclidean space, the geometry of the…

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 $H^{2}$ optimal model reduction based on Riemannian trust-region method

Kazuhiro Sato, Hiroyuki Sato

This paper studies stability and symmetry preserving $H^{2}$ optimal model reduction problems of linear systems which include linear gradient systems as a special case. The problem i…

Riemannian optimization on unit sphere with p-norm and its applications

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

Structure-preserving H2 optimal model reduction based on Riemannian trust-region method

Riemannian optimization on unit sphere with $p$ -norm and its applications

Structure-preserving $H^{2}$ optimal model reduction based on Riemannian trust-region method