Author

Anders Rantzer

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Preprint Aug 2026

Minimax optimal dual control of positive systems: an exact solution for scalar input-sign uncertainty

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, corresponding results for linear positive systems are still lacking. This paper aims to fill this gap and thereby pave the way toward scalable dual cont...

Fethi Bencherki, Tomas J. Meijer, Anders Rantzer · 0 citations

Review Aug 2026

Dual Control: On Exploration-Exploitation in Linear Systems

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 paper is devoted to theory and methodology relevant for optimal control of linear time-invariant systems whose parameters are initially unknown...

Tomas J. Meijer, Anders Rantzer · 0 citations

Preprint Sep 2026

Optimal input design via Frank-Wolfe

The Frank--Wolfe framework is extended to input design for system identification with unknown dynamics and adaptive online LQR, and an $\mathcal{O}(1/M)$ convergence rate is established for the objective value, while strong convexity yields an $\mathcal{O}(1/\sqrt{M})$ rate for the iterates.

Fethi Bencherki, Bruce D. Lee, Nikolai Matni et al. · 0 citations