A spectral condition for asymptotic controllability and stabilization at singular points

Author

Gruene, L.

Author_Institution

Inst. fur Math., Augsburg Univ.

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4431

Abstract

We present a spectral condition for the exponential stabilization of nonlinear control systems with constrained control range at singular points. The spectral approach in particular allows us to formulate an equivalence result between exponential null controllability and exponential stabilization by means of a discrete feedback law. The key tool used is a discounted optimal control problem for the corresponding projected semilinear system, which also admits a numerical solution

Keywords

Lyapunov methods; asymptotic stability; controllability; discrete systems; nonlinear control systems; optimal control; asymptotic controllability; constrained control range; discounted optimal control problem; discrete feedback law; exponential null controllability; exponential stabilization; nonlinear control systems; semilinear system; singular points; spectral condition; Control system synthesis; Control systems; Controllability; Feedback; Force control; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Optimal control; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649648

Filename

649648