Computational methods for modelling of nonlinear systems /
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...
| Основен автор: | Torokhti, A. |
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| Други автори: | Howlett, P. G. 1944- |
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Amsterdam ; Boston :
Elsevier,
2007.
|
| Издание: | 1st ed. |
| Серия: |
Mathematics in science and engineering ;
v. 212. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=193629 |
| Подобни документи: |
Print version::
Computational methods for modelling of nonlinear systems. |
| Резюме: |
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering. |
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| Физически характеристики: |
1 online resource (xi, 397 pages) : illustrations (some color). |
| Библиография: |
Includes bibliographical references (pages 379-393) and index. |
| ISBN: |
9780080475387 0080475388 9786611003906 6611003908 |
| ISSN: |
0076-5392 ; |