Exact and approximate modeling of linear systems; a behavioral approach.

SIAM

2006

206 pages

$64.00

Paperback

Mathematical modeling and computation

QA402

The behavioral approach to mathematical modeling presented in this text requires models to be viewed as sets of possible outcomes rather than to be a priori bound to particular representations. The authors, who are all from Katholieke Universiteit Leuven, Belgium, discuss exact and approximate fitting of data by linear, bilinear and quadratic static models and linear dynamic models, a formulation that enables readers to select the most suitable representation for a particular purpose. The text presents exact subspace-type and approximate optimization-based identification methods, as well as representation-free problem formulations, an overview of solution approaches and software implementation.