Identifying positive feedback structures for assessing the uniqueness of the DC solution by using topological conditions

Author

Hernández-Martinez, Luis ; Vázquez-Leal, Héctor ; Sarmiento-Reyes, Arturo

Author_Institution

Electron. Dept., Nat. Instituto Nacional de Astrofisica, Opt. y Electron., Puebla, Mexico

fYear

2002

fDate

6/24/1905 12:00:00 AM

Abstract

This paper presents a method focused on assessing the uniqueness of the DC solution of transistor networks. It determines the conditions for such a network in order to possess multiple DC operating points. The method is based on identifying positive feedback structures (PFSs) by resorting to the definitions given by Hasler (Fosseprez et al, IEEE Trans. Circuits and Sys. vol. 18, no. 3, pp. 393-402, 1989; Hasler, Int. J. Circuit Theory and Appl., vol. 14, pp. 237-262, 1986; Fosseprez and Hasler, ibid., vol. 18, no. 6, pp. 625-638, 1990). The topological conditions for the existence of PFSs at ator and norator level are established.

Keywords

active networks; circuit feedback; network topology; nonlinear network analysis; transistor circuits; DC solution uniqueness; PFS; ator level PFS; multiple DC operating points; nonlinear circuits; norator level PFS; positive feedback structures; topological conditions; transistor networks; Astrophysics; Electronic mail; Linear circuits; Nonlinear optics; Optical feedback; Resistors; Sorting; Tree graphs; Upper bound; Voltage control;

fLanguage

English

Publisher

ieee

Conference_Titel

Devices, Circuits and Systems, 2002. Proceedings of the Fourth IEEE International Caracas Conference on

Print_ISBN

0-7803-7380-4

Type

conf

DOI

10.1109/ICCDCS.2002.1004001

Filename

1004001