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Exact and Approximate Modeling of Linear Systems: A Behavioral Approach

Exact and Approximate Modeling of Linear Systems: A Behavioral Approach

Paperback

Series: Monographs on Mathematical Modeling and Computation, Book 11

General Mathematics

Currently unavailable to order

ISBN10: 0898716039
ISBN13: 9780898716030
Publisher: Society for Industrial and Applied Mathematic
Published: Jan 31 2006
Pages: 184
Language: English
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach elegantly introduces the behavioral approach to mathematical modeling, an approach that requires models to be viewed as sets of possible outcomes rather than to be a priori bound to particular representations. The authors 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. This book 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. Readers will find an exposition of a wide variety of modeling problems starting from observed data. The presented theory leads to algorithms that are implemented in C language and in MATLAB.

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General Mathematics