مرکز منطقه ای اطلاع رساني علوم و فناوري - Stability, singular perturbations, and the vector Liénard equation

DocumentCode :

809459

Title :

Stability, singular perturbations, and the vector Liénard equation

Author :

Ponzo, Peter J. ; Wax, Nelson

Author_Institution :

University of Waterloo, Waterloo, Ontario, Canada

Volume :

Issue :

fYear :

1972

fDate :

8/1/1972 12:00:00 AM

Firstpage :

563

Lastpage :

565

Abstract :

The rapid rate at which solutions of the vector equation $\\epsilon\\ddot{x} + R(x)dot{x} + g(x) = 0, (0 < \\epsilon \\ll 1)$ approach the subspace $\\dot{x} = -R^{-1}(x)g(x)$ is obtained and the subsequent slow decay to zero is estimated.

Keywords :

Nonlinear systems, continuous-time; Stability; Asymptotic stability; Circuit stability; Circuit theory; Circuits and systems; Feedback loop; Mathematics; Nonlinear equations; Polynomials; Time varying systems; Vectors;

fLanguage :

English

Journal_Title :

Automatic Control, IEEE Transactions on

Publisher :

ieee

ISSN :

0018-9286

Type :

jour

DOI :

10.1109/TAC.1972.1100056

Filename :

1100056

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=809459