Title :
A new method to analyse the unique steady state of nonlinear nonautonomous circuits
Author :
Ping, Feng ; Erzhi, Wang ; Cooke, Peter ; Yuanchun, Si
Author_Institution :
Dept. of Autom., Logistical Eng. Univ., Chongqing, China
Abstract :
A new method to prove the unique steady state of nonlinear nonautonomous circuits by vector comparison is introduced. The main results obtained in this paper show that the unique steady state of nonlinear nonautonomous circuits can be determined by Hurwitz conditions of a constant matrix. The restriction to the elements of the matrix is just that the slope of the constitutive relation is bounded, which is a much looser condition than the demands put forward by previously published papers. The new criteria in this paper have much wider applicability than the results already known.
Keywords :
matrix algebra; nonlinear dynamical systems; nonlinear network analysis; vectors; capacitor-inductor circuits; constant matrix Hurwitz conditions; constitutive relation bounded slope; matrix element restrictions; nonautonomous dynamic nonlinear circuits; nonlinear network steady state analysis; vector comparison; Automation; Capacitors; Circuits; Inductors; Steady-state; Virtual colonoscopy;
Conference_Titel :
Electronics, Circuits and Systems, 2004. ICECS 2004. Proceedings of the 2004 11th IEEE International Conference on
Print_ISBN :
0-7803-8715-5
DOI :
10.1109/ICECS.2004.1399716