3 papers
math.OC2026
Nonlinear Controllability and the Propagation of Local Information: From the Kalman Family to Lie Brackets, Rotation Groups, and Reachable Subgroups
Philippe Mullhaupt
This article develops a self-contained Lie-theoretic route from linear controllability to nonlinear controllability on matrix Lie groups. The organizing question is whether local a…
math.OC2026
Efficient flatness-based computation of trajectories for vehicles with many trailers
Basile Graf, Gustave Lapierre, Philippe Müllhaupt
We address the practical computation of feedforward steering inputs for a car with n trailers via differential flatness. The standard route (iterated symbolic differentiation of th…
math.OC2023
A quotient framework for single-input pole placement and associated algorithms
Philippe Müllhaupt
Single-input eigenvalue assignment problem (SEVAS) for dense (non-sparse) weakly controllable pairs A,B using Ackermann's formula is revisited. Factorizations are presented that ar…