Sufficient conditions for the simultaneous stabilizability of nonlinear systems

Author

Ho-Mock-Qai, Bertina ; Dayawansa, Wijesuriya P.

Author_Institution

Centre d´´Etude de la Navigation Aerienne, Toulouse, France

Volume

6

fYear

1997

fDate

4-6 Jun 1997

Firstpage

3945

Abstract

The simultaneous stabilization of a finite family of control systems consists in finding a feedback law that asymptotically stabilizes all the systems in the family. In this paper, we derive sufficient conditions for the existence of a continuous time-varying feedback law that simultaneously locally or globally asymptotically stabilizes a finite family of nonlinear systems. We then focus on certain pairs of nonlinear homogeneous systems, and by using the obtained sufficient conditions, we establish their asymptotic stabilizability by means of time-varying feedback

Keywords

asymptotic stability; feedback; nonlinear control systems; stability criteria; time-varying systems; continuous time-varying feedback law; feedback law; global asymptotic stability; local asymptotic stability; nonlinear homogeneous system pairs; nonlinear systems; simultaneous stabilizability; sufficient conditions; time-varying feedback; Control systems; Ear; Feedback; Mathematics; Navigation; Nonlinear systems; Stability; Sufficient conditions; Time varying systems; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.609632

Filename

609632