By Ivan Markovsky, Jan C. Willems, Sabine Van Huffel, Bart De Moor
Specific and Approximate Modeling of Linear structures: A Behavioral technique elegantly introduces the behavioral method of mathematical modeling, an process that calls for types to be seen as units of attainable results instead of to be a priori guaranteed to specific representations. The authors speak about special and approximate becoming of information through linear, bilinear, and quadratic static versions and linear dynamic types, a formula that allows readers to choose the main compatible illustration for a specific objective. This ebook provides precise subspace-type and approximate optimization-based id tools, in addition to representation-free challenge formulations, an summary of resolution methods, and software program implementation. Readers will locate an exposition of a large choice of modeling difficulties ranging from saw info. The offered concept ends up in algorithms which are carried out in c programming language and in MATLAB. viewers This booklet is written essentially for electric, mechanical, and chemical engineers, utilized mathematicians, econometricians, and statisticians. Chapters three and four can be of curiosity to chemometricians, and Chapters five and six to researchers within the box of computing device imaginative and prescient. Preface; bankruptcy 1: creation; bankruptcy 2: Approximate Modeling through Misfit Minimization; half I: Static difficulties. bankruptcy three: Weighted overall Least Squares; bankruptcy four: based overall Least Squares; bankruptcy five: Bilinear Errors-in-Variables version; bankruptcy 6: Ellipsoid becoming; half II: Dynamic difficulties. bankruptcy 7: advent to Dynamical versions; bankruptcy eight: special id; bankruptcy nine: Balanced version identity; bankruptcy 10: Errors-in-Variables Smoothing and Filtering; bankruptcy eleven: Approximate procedure identity; bankruptcy 12: Conclusions; Appendix A: Proofs; Appendix B: software program; Notation; Bibliography; Index.
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