Sufficient Conditions for Closed-Loop Asymptotic Controllability and Stabilization by Smooth Time-Varying Feedback Integrator

Author

Tsinias, J.

Author_Institution

Dept. of Math., Nat. Tech. Univ., Athens

Volume

53

Issue

9

fYear

2008

Firstpage

1983

Lastpage

1997

Abstract

For general finite-dimensional time-varying nonlinear systems, we derive sufficient conditions for closed-loop asymptotic controllability and asymptotic stabilization by means of a smooth ordinary time-varying feedback integrator. The main hypotheses are based on the existence of an almost smooth time-varying control Lyapunov function. The corresponding results generalize earlier works in the literature concerning dynamic stabilization for autonomous systems.

Keywords

Lyapunov methods; asymptotic stability; controllability; feedback; nonlinear systems; time-varying systems; Lyapunov function; closed-loop asymptotic controllability; closed-loop asymptotic stabilization; dynamic stabilization; nonlinear systems; smooth time-varying feedback integrator; Control systems; Controllability; Feedback; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Sufficient conditions; Time varying systems; Control Lyapunov functions; dynamic closed-loop asymptotic controllability; stabilization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2008.929393

Filename

4639468