Screen LibraryGeneral systems theory : mathematical foundations /
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...
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| Main Authors: | |
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| Corporate Authors: | |
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| Published: |
Academic Press,
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| Publisher Address: | New York : |
| Publication Dates: | 1975. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Mathematics in science and engineering ;
v. 113 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/00765392/113 |
| Summary: |
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;<BR id="CRLF">methods |
| Carrier Form: | 1 online resource (xii, 268 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9780080956220 008095622X |
| Index Number: | QA402 |
| CLC: | N94 |
| Contents: | Cover13; -- General Systems Theory: Mathematical Foundations -- Copyright Page -- Contents -- Preface -- Chapter I. Introduction -- 1. General Systems Theory: What Is It and What Is It for? -- 2. Formalization Approach for the Development of the Mathematical Theory of General Systems -- Chapter II. Basic Concepts -- 1. Set-Theoretic Concept of a General System -- 2. General Time and Dynamical Systems -- 3. Auxiliary Functions and Some Basic Classification of Systems -- 4. Causality -- Chapter III. General Realization Theory -- 1. Realizability and Dynamical Representation -- 2. Canonical Rep |