controllability Controllability 2004-08-05 04:18:58 2004-08-10 11:15:45 Definition control system % this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here A control system is said to be (completely) controllable if, for all initial times and all initial states, there exists some input function (or sequence for discrete systems) that drives the state vector to any final state at some finite time.