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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…
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★ 3 cited
Induced Norm Analysis of Linear Systems for Nonnegative Input Signals
Yoshio Ebihara, Noboru Sebe, Hayato Waki +4
This paper is concerned with the analysis of the induced norms of continuous-time linear systems where input signals are restricted to be nonnegat…