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math.OC2026
The Global Asymptotic Stability Problem for Linear MPC Is Undecidable
Johan Löfberg
We prove that deciding global asymptotic stability for constrained finite-horizon linear model predictive control is undecidable. This holds at horizon one with identity state, inp…
math.OC2026
Exact and Asymptotic Values for Weak Limited Augmented Zarankiewicz Numbers in the Case
Liqun Qi, Johan Löfberg, Yannan Chen
We determine the exact weak limited augmented Zarankiewicz numbers for all : \[ z_{wL}(m,3)= \begin{cases} m+3+\left\lceil \dfrac{m}{2}\right\rceil+1, & 9\le…
math.OC2026
Sparse Feedback Implementation for Sender-Receiver Transportation Linear-Quadratic Control
Anders Hansson, Johan Löfberg
We study a sparse linear-quadratic problem for transportation dynamics. The sparsity pattern has a natural directed-graph representation in which vertices are storage locations and…