DocumentCode
2886830
Title
New results on bounds of solutions for a class of nonlinear dynamic networks
Author
Mitkowski, Stanislaw ; Ogorzalek, Maciej J.
Author_Institution
Dept. of Electr. Eng., IMISUE, Acad. of Min. & Metall., Krakow, Poland
fYear
1991
fDate
16-17 Jun 1991
Firstpage
728
Abstract
Two theorems concerning bounds of solutions for a class of nonlinear dynamic circuits are presented in this paper. The results are based on application of fundamental theorems on ordinary differential inequalities. For systems whose state matrices are m-matrices and nonlinear characteristics satisfy some simple geometric conditions it is possible to find suitable upper and lower bounds. Simple examples of applications in the case of nonlinear RC ladder networks are included
Keywords
ladder networks; nonlinear network analysis; RC ladder networks; bounds of solutions; geometric conditions; lower bounds; m-matrices; nonlinear characteristics; nonlinear dynamic networks; ordinary differential inequalities; state matrices; upper bounds; Circuits and systems; Differential equations; Eigenvalues and eigenfunctions; Feedback; Linear matrix inequalities; Linear systems; Nonlinear circuits; Nonlinear equations; Resistors; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1991. Conference Proceedings, China., 1991 International Conference on
Conference_Location
Shenzhen
Type
conf
DOI
10.1109/CICCAS.1991.184462
Filename
184462
Link To Document