Title :
Modal factorization of time-varying models for nonlinear circuits by the Riccati transform
Author :
van der Kloet, P. ; Neerhoff, F.L.
Author_Institution :
Fac. of Inf. Technol. & Syst., Delft Univ. of Technol., Netherlands
Abstract :
In this paper, general linear time-varying systems are addressed. They are considered as small-signal models of nonlinear circuit solutions. The transition matrix is constructed by repeated Riccati transforms. It is shown that each transform factors out a single mode. Key concepts of time-invariant theory are generalized to the time-varying context. They provide a unified mathematical framework, suitable for assessing the local behavior of nonlinear dynamic circuits
Keywords :
Riccati equations; nonlinear network analysis; time-varying systems; linear time-varying system models; local behavior; modal factorization; nonlinear dynamic circuits; repeated Riccati transforms; small-signal models; transition matrix; unified mathematical framework; Circuit noise; Circuit stability; Eigenvalues and eigenfunctions; Frequency; Information technology; Laboratories; Nonlinear circuits; Nonlinear equations; Riccati equations; Time varying systems;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921370
