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math.OC2026
Dual Control: On Exploration-Exploitation in Linear Systems
Tomas J. Meijer, Anders Rantzer
The term "dual control" refers to the dual objective of simultaneously balancing exploration and exploitation. Problems of this kind have been studied for nearly a century. This pa…
math.OC2026
Minimax optimal dual control of positive systems: an exact solution for scalar input-sign uncertainty
Fethi Bencherki, Tomas J. Meijer, Anders Rantzer
While recent advances in minimax dual control have led to exact solutions for uncertain general linear time-invariant systems as well as (sub)optimal dual controllers, correspondin…
math.OC2026
On Poly-Quadratic Stabilizability and Detectability of Polytopic LPV Systems
T. J. Meijer, V. S. Dolk, W. P. M. H. Heemels
In this technical communique, we generalize the well-known Lyapunov-based stabilizability and detectability tests for discrete-time linear time-invariant systems to polytopic linea…