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
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;
Conference_Titel :
Circuits and Systems, 1991. Conference Proceedings, China., 1991 International Conference on
Conference_Location :
Shenzhen
DOI :
10.1109/CICCAS.1991.184462