Title :
On the interpretation of the time-varying eigenvalues
Author :
De Anda, M. A Gutiérrez ; Reyes, L. A Sarmiento
Author_Institution :
Dept. of Electr. Eng., Univ. Autonoma Metropolitana, Iztapalapa, Mexico
fDate :
28 Aug.-2 Sept. 2005
Abstract :
In order to analyse the behaviour in small-signal regime of certain classes of dynamic nonlinear circuits, dynamic linear time-varying (LTV) models must be considered. In an attempt to simplify the analysis of these models, time-varying eigenvalues may be used. In this article, a simple interpretation of those quantities will be given. Time-varying eigenvalues give information on the growth rate of each of the normal solutions of a LTV system in such a way that their dynamics are effectively decoupled from each other. Some arguments are given to support this idea.
Keywords :
eigenvalues and eigenfunctions; linear network analysis; nonlinear network analysis; time-varying networks; decoupling; dynamic linear time-varying model; dynamic nonlinear circuit; small-signal regime; time-varying eigenvalues; Differential equations; Displays; Eigenvalues and eigenfunctions; Electronic circuits; Frequency; Nonlinear circuits; Nonlinear dynamical systems; Oscillators; Prototypes; Time varying systems;
Conference_Titel :
Circuit Theory and Design, 2005. Proceedings of the 2005 European Conference on
Print_ISBN :
0-7803-9066-0
DOI :
10.1109/ECCTD.2005.1523120
