Stable Reduced Models for Nonlinear Descriptor Systems Through Piecewise-Linear Approximation and Projection

This paper presents theoretical and practical results concerning the stability of piecewise-linear (PWL) reduced models for the purposes of analog macromodeling. Results include proofs of input-output (I/O) stability for PWL approximations to certain classes of nonlinear descriptor systems, along wi...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Bond, Bradley N., Daniel, Luca
Бусад зохиолчид: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Формат: Өгүүллэг
Хэл сонгох:en_US
Хэвлэсэн: Institute of Electrical and Electronics Engineers 2010
Нөхцлүүд:
Онлайн хандалт:http://hdl.handle.net/1721.1/52359
https://orcid.org/0000-0002-5880-3151
Тодорхойлолт
Тойм:This paper presents theoretical and practical results concerning the stability of piecewise-linear (PWL) reduced models for the purposes of analog macromodeling. Results include proofs of input-output (I/O) stability for PWL approximations to certain classes of nonlinear descriptor systems, along with projection techniques that are guaranteed to preserve I/O stability in reduced-order PWL models. We also derive a new PWL formulation and introduce a new nonlinear projection, allowing us to extend our stability results to a broader class of nonlinear systems described by models containing nonlinear descriptor functions. Lastly, we present algorithms to compute efficiently the required stabilizing nonlinear left-projection matrix operators.