Quadratic Obstructions to Small-Time Local Controllability for Multi-Input Systems
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-025-09747-y
Abstract: We present a necessary condition for the small-time local controllability of multi-input control-affine systems on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^d$$\end{document}. This condition is formulated on the vectors of \documentclass[12pt]{minimal}… read more here.
Keywords: input; time; local controllability; small time ... See more keywords
Quadratic obstructions to small-time local controllability for scalar-input systems
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.11.028
Abstract: We consider nonlinear scalar-input differential control systems in the vicinity of an equilibrium. When the linearized system at the equilibrium is controllable, the nonlinear system is smoothly small-time locally controllable, i.e., whatever $m>0$ and $T>0$,… read more here.
Keywords: local controllability; control; time; scalar input ... See more keywords