Publication View

Global stabilizability and observability imply semi-global stabilizability by output feedback (1994)

Abstract

We show that smooth global �or even semi-global � stabilizability and uniform complete observability are su�cient properties to guarantee semi-global stabilizability by dynamic output feedback for continuous-time nonlinear systems. Keywords: Output feedback, Semi-global stabilizability, Uniform complete observability. Notation: � Let �0 � denote the number of the di�erential equation: _x = f�x�: �0� For any continuous function V: A! R, with A � R p,we denote by _ V �0 � the Lie derivative ofV along the �eld f when it exists on A, i.e.: _V �0��x � = lim t!0 When V is continuously di�erentiable we have trivially: � j�jdenotes the Euclidean norm. � A function f: A! R+, with A � R p, is said to be proper on A if:

Publication details

Download	http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.78.9187
Source	http://www.ima.umn.edu/preprints/JANUARY1993/1104.pdf
Contributors	CiteSeerX
Repository	CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type	text
Language	English
Relation	10.1.1.48.7304, 10.1.1.50.4967, 10.1.1.47.4075, 10.1.1.1.4696, 10.1.1.118.6712, 10.1.1.26.5399, 10.1.1.110.2870, 10.1.1.115.8836, 10.1.1.1.3554, 10.1.1.32.7543, 10.1.1.93.2986, 10.1.1.111.8739, 10.1.1.118.1429, 10.1.1.119.2472, 10.1.1.120.2317, 10.1.1.120.2318, 10.1.1.124.1676, 10.1.1.131.4350, 10.1.1.45.4376, 10.1.1.26.6343, 10.1.1.23.4025