On the validity of solutions and equilibrium points in a nonlinear network

Author

Venkatasubramanian, Vaithianathan ; Saberi, Ali ; Lin, Zongli

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

Volume

43

Issue

3

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

233

Lastpage

235

Abstract

For constrained differential equations arising in a specific nonlinear network, the inconsistency between two seemingly equivalent unconstrained representations has been long debated in the literature. One of the representations has nonunique solutions which violate the network constraints. Using new analytical tools, this brief proves that the two representations are not equivalent. Also the “explanations” for the discrepancy which appeared recently are incorrect as such, but can be restated precisely

Keywords

constraint handling; differential equations; nonlinear network analysis; constrained differential equations; equilibrium points; equivalent unconstrained representations; network constraints; nonlinear network; nonunique solutions; Capacitors; Computer science; Constraint theory; Cyclic redundancy check; Differential equations; Intelligent networks; Nonlinear circuits; Nonlinear equations; Resistors; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.486448

Filename

486448