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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…