Joseph La Salle and Solomon Lefschetz (Eds.)012437056X, 9780124370562
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 |
Table of contents :
Content:
Edited by
Page iii Copyright Page
Page iv Preface
Pages v-vi Errata
Page viii 1. Geometrie Concepts: Vectors and Matrices
Pages 3-20 2. Differential Equations
Pages 21-73 3. Application of Liapunov’s Theory to Controls
Pages 75-105 4. Extensions of Liapunov’s Method
Pages 107-130 Literature
Pages 131-132 Index
Pages 133-134 |
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