Stabilizing schemes for piecewise-linear reduced order models via projection and weighting functions

— In this paper we present several results concerning the stabilization of piecewise-linear reduced order models. We include proofs of internal and external stability for models whose system matrices possess special structures. We then introduce a new projection scheme, and a new set of weighting functions which allow us to extend some of these results to piecewiselinear systems comprised of arbitrary matrices, at least one of which is Hurwitz. Included are an algorithm for creating switching piecewise-linear reduced models comprised of globally exponentially stable systems, and stable simulation results for a system which produces unstable results when using the standard TPWL method.

• Type: Conference
• Year: 2007
• Where: ICCAD
• Authors: Bradley N. Bond, Luca Daniel
• Keywords: Arbitrary Matrices, Hardware, ICCAD 2007, Order Models, Piecewise-linear Reduced Models