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math.OC2026

Scaled Graph Bounding Techniques for Reset Systems

Timo de Groot, Maurice Heemels, Tom Oomen +1

Reset systems can overcome fundamental limitations of linear time-invariant control. The recently introduced notion of scaled (relative) graphs provides a promising framework for d…

math.OC2026

The Separation Principle and the Dual-Certainty Equivalence Gap in Model Predictive Control

Tren Baltussen, Nathan P. Lawrence, Alexander Katriniok +2

Dual control addresses the trade-off between exploitation and exploration, where control inputs both regulate the system and generate informative data for estimation and identifica…

math.OC2025

Dual MPC for Active Learning of Nonparametric Uncertainties

Tren Baltussen, Maurice Heemels, Alexander Katriniok

This manuscript presents a dual model predictive controller (MPC) that balances the two objectives of dual control, namely, system identification and control. In particular, we pro…

math.OC2025

Continuity Conditions for Piecewise Quadratic Functions on Simplicial Conic Partitions are Equivalent

Magne Erlandsen, Tomas Meijer, W. P. M. H. Heemels +1

Analysis of continuous-time piecewise linear systems based on piecewise quadratic (PWQ) Lyapunov functions typically requires continuity of these functions over a partition of the…

math.OC2025

A Dissipativity Framework for Constructing Scaled Graphs

Timo de Groot, Maurice heemels, Sebastiaan van den Eijnden

Scaled relative graphs have been originally introduced in the context of convex optimization and have recently gained attention in the control systems community for the graphical a…

math.OC2025

A Contingency Model Predictive Control Framework for Safe Learning

Merlijne Geurts, Tren Baltussen, Alexander Katriniok +1

This research introduces a multi-horizon contingency model predictive control (CMPC) framework in which classes of robust MPC (RMPC) algorithms are combined with classes of learnin…