3 papers
math.OC2025
LMI hierarchies for stability analysis of ReLU feedback systems
Victor Magron, Yoshio Ebihara, Shingo Nishinaka +4
We consider the stability analysis of feedback systems with rectified linear unit (ReLU) activations, and model this problem with polynomial optimization. Stability can be certifie…
math.OC2025
Detecting Destabilizing Nonlinearities in Absolute Stability Analysis of Discrete-Time Feedback Systems
Hibiki Gyotoku, Tsuyoshi Yuno, Yoshio Ebihara +3
This paper is concerned with the absolute stability analysis of discrete-time feedback systems with slope-restricted nonlinearities. By employing static O'Shea-Zames-Falb multiplie…
math.OC2024
On Dual of LMIs for Absolute Stability Analysis of Nonlinear Feedback Systems with Static O'Shea-Zames-Falb Multipliers
Hibiki Gyotoku, Tsuyoshi Yuno, Yoshio Ebihara +3
This study investigates the absolute stability criteria based on the framework of integral quadratic constraint (IQC) for feedback systems with slope-restricted nonlinearities. In…