Computational Methods for Modeling of Nonlinear Systems
Contributors: Howlett, Phil
Publisher: Elsevier Science
Published: 1965
Place of publication: Burlington
Language: eng
Format: [electronic resource]
Number of pages: 359
ISBN-13: 9780080955216
Subjects: Mathematics
Description: 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 mat.
Notes: Description based on print version record.
Table of contents: title: Front Cover; Random Processes in Nonlinear Control Systems; Copyright Page; Editor's Foreword; Preface; Contents; INTRODUCTION; Chapter 1. NONLINEAR TRANSFORMATIONS WITHOUT FEEDBACK; Chapter 2. NONLINEAR TRANSFORMATION WITH FEEDBACK. STATIONARY STATES; Chapter 3. NONLINEAR TRANSFORMATIONS WITH FEEDBACK. NONSTATIO NARY STATES; Chapter 4. EXTREMAL SYSTEMS; Appendix I: FUNCTIONS my(mx, sx), h1(mx, sx), a2 (mx, sx), AND a3 (mx, sx) FOR SEVERAL TYPICAL NONLINEARITIES.; title: Appendix II: REPRESENTATION OF A LAGLESS NONLINEAR TRANSFORMATION IN THE FORM OF AN INTEGRAL TRANSFORMATION IN A COMPLEX REGION. THE THEOREM OF R. PRICEAppendix III: COMPUTATION OF THE INTEGRALS In; Appendix IV: THE COEFFICIENTS OF STATISTICAL LINEARIZATION h1(a, s) AND h2(a, s) FOR TYPICAL NONLlNEARITIES; Appendix V: ELEMENTARY STATEMENTS ON THE THEORY OF MARKOV PROCESSES; Related Literature; Bibliography; Author Index; Subject Index.