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math.OC2026

Stability, Contraction, and Controllers for Affine Systems

L. P. Wieringa, A. Padoan, F. Dorfler +1

Recent developments in data-driven control have revived interest in the behavioral approach to systems theory, where systems are defined as sets of trajectories rather than being d…

math.OC2025

From Time Series to Affine Systems

A. Padoan, J. Eising, I. Markovsky

The paper extends core results of behavioral systems theory from linear to affine time-invariant systems. We characterize the behavior of affine time-invariant systems via kernel,…

math.OC2025

DeePC-Hunt: Data-enabled Predictive Control Hyperparameter Tuning via Differentiable Optimization

Michael Cummins, Alberto Padoan, Keith Moffat +2

This paper introduces Data-enabled Predictive Control Hyperparameter Tuning via Differentiable Optimization (DeePC-Hunt), a backpropagation-based method for automatic hyperparamete…

math.OC2025

Split-as-a-Pro: behavioral control via operator splitting and alternating projections

Yu Tang, Carlo Cenedese, Alessio Rimoldi +3

The paper introduces Split-as-a-Pro, a control framework that integrates behavioral systems theory, operator splitting methods, and alternating projection algorithms. The framework…

math.OC2025

Mixed Small Gain and Phase Theorem: A new view using Scale Relative Graphs

Eder Baron-Prada, Adolfo Anta, Alberto Padoan +1

We introduce a novel approach to feedback stability analysis for linear time-invariant (LTI) systems, overcoming the limitations of the sectoriality assumption in the small phase t…