On the relation between local controllability and stabilizability for a class of nonlinear systems

Author

Celikovsky, Sergej ; Nijmeijer, Henk

Author_Institution

Inst. of Inf. Theory & Autom., Czechoslovak Acad. of Sci., Prague, Czech Republic

Volume

42

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

90

Lastpage

94

Abstract

The problem of local stabilizability of locally controllable nonlinear systems is considered. It is well known that, contrary to the linear case, local controllability does not necessarily imply stabilizability. A class of nonlinear systems for which local controllability implies local asymptotic stabilizability using continuous static-state feedback is described, as for this class of systems the well-known Hermes controllability condition is necessary and sufficient for local controllability

Keywords

asymptotic stability; continuous time systems; controllability; nonlinear systems; robust control; state feedback; Hermes controllability condition; asymptotic stability; continuous static-state feedback; local controllability; necessary condition; nonlinear systems; stabilizability; sufficient condition; triangular form; Automatic control; Control systems; Controllability; Differential equations; Feedback; Nonlinear control systems; Nonlinear systems; Partial differential equations; Shape control; Vibration control;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.553690

Filename

553690