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

被引：47

作者：

Bond, Bradley N. ^{[1
]}

Daniel, Luca ^{[1
]}

机构：

[1] MIT, Dept Elect Engn & Comp Sci, Cambridge, MA 02139 USA

来源：

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS | 2009年 / 28卷 / 10期

关键词：

Stability analysis; Circuit stability; Lyapunov method; Thermal stability; Nonlinear systems; Computational modeling; stability; Analog macromodeling; model order reduction (MOR); nonlinear systems; ORDER REDUCTION;

D O I：

10.1109/TCAD.2009.2030596

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 inputoutput (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. © 2006 IEEE.

引用

页码：1467 / 1480

页数：14

共 23 条

[1] Nonlinear transmission lines for pulse shaping in silicon [J].

Afshari, E ;

Hajimiri, A .

IEEE JOURNAL OF SOLID-STATE CIRCUITS, 2005, 40 (03) :744-752

[2]

BAI Z, 1997, 97310 BELL LABS

[3] Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems [J].

Benner, Peter ;

Li, Jing-Rebecca ;

Penzl, Thilo .

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2008, 15 (09) :755-777

[4]

Benner P, 2007, ELECTRON T NUMER ANA, V29, P136

[5]

BOND B, STABLE MODEL REDUCTI

[6]

BOND BN, 2008, P IEEE ACM INT C COM, P728, DOI DOI 10.1109/ICCAD.2008.4681657

[7] Stabilizing schemes for piecewise-linear reduced order models via projection and weighting functions [J].

Bond, Bradley N. ;

Daniel, Luca .

IEEE/ACM INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN DIGEST OF TECHNICAL PAPERS, VOLS 1 AND 2, 2007, :860-+

[8] A piecewise-linear moment-matching approach to parameterized model-order reduction for highly nonlinear systems [J].

Bond, Bradley N. ;

Daniel, Luca .

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2007, 26 (12) :2116-2129

[9]

Dong N, 2003, DES AUT CON, P484

[10]

Kerns KJ, 1995, 1995 IEEE/ACM INTERNATIONAL CONFERENCE ON COMPUTER-AIDED DESIGN, P207, DOI 10.1109/ICCAD.1995.480014

← 1 2 3 →