On the global controllability of perturbed controllable systems

Author

Davison, E.J. ; Ball, D.

Author_Institution

University of Toronto, Toronto, Ontario, Canada

Volume

Issue

fYear

1972

fDate

12/1/1972 12:00:00 AM

Firstpage

825

Lastpage

826

Abstract

By using a recent theorem of Davison and Kunze [1], it is shown that, if certain conditions hold such that the system $\\dot{x} = A(x,t)x + B(x,t)u$ is globally controllable, then the perturbed system $\\dot{x} = [A(x,t) + \\epsilon\\tilde{A}(x,t)]x + [B(x,t) + \\epsilon\\tilde{B}(x,t)u$ , where $\\tilde{A}$ and $\\tilde{B}$ are bounded, is also globally controllable, provided ε is small enough. In particular, if $\\dot{x} = A(t)x + B(t)u$ is controllable, then so is the perturbed system $\\dot{x} = [A(t) + \\epsilon\\tilde{A}(x,t)]x + [B(t) + \\epsilon\\tilde{B}(x,t)]u$ .

Keywords

Controllability; Nonlinear systems, time-varying; Time-varying systems, nonlinear; Adaptive control; Artificial intelligence; Automatic control; Control systems; Controllability; Councils; Equations; Feedback; Nonlinear filters; Optimal control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1972.1100166

Filename

1100166

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=810562