Y. Ebihara

activity

20192025

most cited

l_{2}

Induced Norm Analysis of Discrete-Time LTI Systems for Nonnegative Input Signals and Its Application to Stability Analysis of Recurrent Neural Networks

8 citations · 9 across the 7 of their papers we have counts for

collaborators

Showing 2024 · math.OCShow all

2 papers · 2 filters

math.OC2024

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.OC2024★ 1 cited

$L_{2 +}$ Induced Norm Analysis of Continuous-Time LTI Systems Using Positive Filters and Copositive Programming

Yoshio Ebihara, Hayato Waki, Noboru Sebe +3

This paper is concerned with the analysis of the $L_{2}$ induced norm of continuous-time LTI systems where the input signals are restricted to be nonnegative. This induced norm is…

LMI hierarchies for stability analysis of ReLU feedback systems

L2+​ Induced Norm Analysis of Continuous-Time LTI Systems Using Positive Filters and Copositive Programming

$L_{2 +}$ Induced Norm Analysis of Continuous-Time LTI Systems Using Positive Filters and Copositive Programming