2014/04/29 by Francesca Chittaro, Chittaro, Francesca, Gianna Stefani +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Control and Stability of Dynamical Systems #FOS: Mathematics #Optimization and Control (math.OC) #Quantum chaos and dynamical systems #Stability and Control of Uncertain Systems #math.OC
paper · pdf · doi:10.48550/arxiv.1404.7336
arxiv created 2014/04/29 · openalex publication_date 2014/04/29 · arxiv updated 2014/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the minimum-time problem for a multi-input control-affine system, where we assume that the controlled vector fields generate a non-involutive distribution of constant dimension, and where we do not assume a-priori bounds for the controls. We use Hamiltonian methods to prove that the coercivity of a suitable second variation associated to a Pontryagin singular arc is sufficient to prove its strong-local optimality. We provide an application of the result to a generalization of Dubins problem.