Title: Model Reduction with Stability Guarantee for Linear and Nonlinear Systems Arising in Analog Circuit Applications

Speaker: Bradley Bond, Massachusetts Institute of Technology

Date/Time: Tuesday, March 23, 2010, 9:00 – 10:00 am        

Location: CSRI Building/Room 90 (Sandia NM)

Brief Abstract: Despite the increasing presence of RF and analog components in personal wireless electronics, such as mobile communication devices, the automated design and optimization of such systems is still an extremely challenging task.  This is primarily due to the presence of both parasitic elements and highly nonlinear elements, which makes simulation computationally expensive and slow.  The ability to generate parameterized reduced order models of analog systems could serve as a first step toward the automatic and accurate characterization of geometrically complex components and subcircuits, eventually enabling their synthesis and optimization.

In this talk I will present several of my recently developed techniques for automatically generating stable and compact dynamical models from highly complex systems, both linear and nonlinear, arising in analog applications.  These techniques combine the traditional model order reduction notions of projection and model fitting along with convex formulations of robustness constraints.  The resulting algorithms are capable of generating guaranteed stable and passive reduced models from systems for which traditional existing algorithms are unreliable, such as when the original systems are highly nonlinear, described by unstructured and indefinite matrices, or even mildly unstable.  The application of these techniques reaches far beyond analog design, and results for other applications, such as modeling of the cardiovascular circulatory system, will also be discussed.

CSRI POC: Eric Keiter, (505) 284-6088