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math.OC2026

Direct vs. Indirect Data-Driven Control: Case-study of Switching Systems Stability

Alexis Vuille, Guillaume O. Berger, Raphaël M. Jungers

A central methodological question in data-driven control is whether to adopt a direct or indirect approach. Direct methods infer a controller or certificate directly from data, whi…

math.OC2026

Robust Optimal Control of Arbitrarily Switched Systems: A Path-Complete Framework

Léa Ninite, Adrien Banse, Guillaume O. Berger +1

This paper addresses the robust control of switched systems under arbitrary switching with performance guarantees. We propose a framework that jointly synthesizes a feedback policy…

math.OC2026

Iterative graph lifting for automatic design of path-complete stability certificates

Léa Ninite, Raphaël M. Jungers

Stability of switched linear systems under arbitrary switching is a fundamental problem in control theory, closely related to the joint spectral radius (JSR), which characterizes t…

math.OC2026

A Path-Complete Approach for Optimal Control of Switched Systems

Léa Ninite, Adrien Banse, Guillaume O. Berger +1

We study the problem of estimating the value function of discrete-time switched systems under arbitrary switching. Unlike the switched LQR problem, where both inputs and mode seque…

math.OC2025

Online Complexity Estimation for Repetitive Scenario Design

Guillaume O. Berger, Raphaël M. Jungers

We consider the problem of repetitive scenario design where one has to solve repeatedly a scenario design problem and can adjust the sample size (number of scenarios) to obtain a d…

math.OC2025

A Stochastic-Optimization-Based Adaptive-Sampling Scheme for Data-Driven Stability Analysis of Switched Linear Systems

Alexis Vuille, Guillaume O. Berger, Raphaël M. Jungers

We introduce a novel approach based on stochastic optimization to find the optimal sampling distribution for the data-driven stability analysis of switched linear systems. Our goal…