UID:
almahu_9949697820102882
Umfang:
1 online resource (253 p.)
ISBN:
1-283-52537-2
,
9786613837820
,
0-08-095568-1
Serie:
Mathematics in science and engineering ; v. 59
Inhalt:
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
Anmerkung:
Description based upon print version of record.
,
Front Cover; Some Successive Approximation Methods in Control and Oscillation Theory; Copyright Page; Preface; CONTENTS; CHAPTER 1. INTRODUCTlON; 1.1 Introduction; 1.2 Control Problems and Historical Notes; 1.3 Description of Contents; CHAPTER 2. OPERATOR THEORETIC ITERATIVE METHODS; 2.1 Introduction; 2.2 The Method of Contraction Mappings; 2.3 The Modified Contraction Mapping Method; 2.4 Newton's Method; 2.5 Multipoint Methods; CHAPTER 3. REPRESENTATION OF BOUNDARY VALUE PROBLEMS; 3.1 lntroduction; 3.2 Continuous Linear Two-Point Boundary Value Problems
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3.3 Discrete Linear Two-Point Boundary Value Problems3.4 Representation of Continuous Two-Point Boundary Value Problems; 3.5 Representation of Discrete Two-Point Boundary Value Problem; 3.6 A Continuous Example; 3.7 A Discrete Example; 3.8 Computation of Derivatives: Continuous Case; 3.9 Computation of Derivatives: Discrete Case; 3.10 A Lemma on Equivalence: Continuous Case; 3.11 A Lemma on Equivalence: Discrete Case; Appendix. Lipschitz Norms; CHAPTER 4. APPLICATION TO CONTROL PROBLEMS; 4.1 Introduction; 4.2 Continuous Control Problems; 4.3 A Continuous Example; 4.4 Discrete Control Problems
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4.5 Application to Continuous Problems I: The Method of Contraction Mappings4.6 Application to Continuous Problems II: The Modified Contraction Mapping Method; 4.7 Application to Continuous Problems III: Newton's Method; 4.8 Application to Continuous Problems IV: Multipoint Methods; 4.9 Application to Discrete Problems I: The Method of Contraction Mappings; 4.10 Application to Discrete Problems II: The Modified Contraction Mapping Method; 4.11 Application to Discrete Problems III: Newton's Method; 4.12 Summary; CHAPTER 5. APPLICATION TO OSCILLATION PROBLEMS; 5.1 Introduction
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5.2 Almost Linear Problems5.3 Some Second-Order Examples; CHAPTER 6. SOME NUMERICAL EXAMPLES; 6.1 Introduction; 6.2 Constant Low-Thrust Earth-to-Mars Orbital Transfer; 6.3 Variable Low-Thrust Earth-to-Mars Orbital Transfer; 6.4 An Oscillation Problem; REFERENCES; AUTHOR INDEX; SUBJECT INDEX; Mathematics in Science and Engineering
,
English
Weitere Ausg.:
ISBN 0-12-247950-5
Sprache:
Englisch
