5 papers
Covariance Stabilization for a class of Stochastic Discrete-time Linear Systems using the S-Variable Approach
Kaouther Moussa, Dimitri Peaucelle
This paper deals with the problem of covariance stabilization for a class of linear stochastic discrete-time systems in the Stochastic Model Predictive Control (SMPC) framework. Th…
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…
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…
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…
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…