On Phase Change Rate Maximization with Practical Applications

no code implementations • 12 Jan 2023 • Chung-Yao Kao, Shinji Hara, Yutaka Hori, Tetsuya Iwasaki, Sei Zhen Khong

We recapitulate the notion of phase change rate maximization and demonstrate the usefulness of its solution on analyzing the robust instability of a cyclic network of multi-agent systems subject to a homogenous multiplicative perturbation.

Exact Instability Margin Analysis and Minimum-Norm Strong Stabilization -- phase change rate maximization --

no code implementations • 19 Feb 2022 • Shinji Hara, Chung-Yao Kao, Sei Zhen Khong, Tetsuya Iwasaki, Yutaka Hori

This paper is concerned with a new optimization problem named "phase change rate maximization" for single-input-single-output linear time-invariant systems.

Robust Instability Radius for Multi-agent Dynamical Systems with Cyclic Structure

no code implementations • 27 Jan 2021 • Shinji Hara, Tetsuya Iwasaki, Yutaka Hori

This paper is concerned with robust instability analysis for linear multi-agent dynamical systems with cyclic structure.

Instability Margin Analysis for Parametrized LTI Systems with Application to Repressilator

no code implementations • 25 Aug 2020 • Shinji Hara, Tetsuya Iwasaki, Yutaka Hori

This paper is concerned with a robust instability analysis for the single-input-single-output unstable linear time-invariant (LTI) system under dynamic perturbations.

Robust Instability Analysis with Application to Neuronal Dynamics

no code implementations • 4 Mar 2020 • Shinji Hara, Tetsuya Iwasaki, Yutaka Hori

This paper is concerned with robust instability analysis of linear feedback systems subject to a dynamic uncertainty.