Wohlers / Booker / Declaris Lumped and Distributed Passive Networks

A Generalized and Advanced Viewpoint
1. Auflage 2013
ISBN: 978-1-4832-2124-3
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 246 Seiten, Web PDF

Lumped and Distributed Passive Networks: A Generalized and Advanced Viewpoint considers the mathematical study of a subset of passive linear operators. This five-chapter focuses on the questions of analysis and representation of such operators and illustrates the results of these analyses by obtaining some of the limitations that are imposed on the performance of passive systems. The first two chapters deal with the structure of general linear passive operators. These chapters specifically look into the theory of distributions, called generalized functions. The third and fourth chapters illustrate the application of passive operator theory to rational (lumped) and irrational (distributed) systems. The fifth chapter discusses some applications of optimization theory to the study of networks.

Autoren/Hrsg.

Wohlers, M. Ronald

Booker, Henry G.

Declaris, Nicholas

Inhaltsverzeichnis

1;Front Cover;1
2;Lumped and Distributed Passive Networks: A Generalized and Advanced Viewpoint;4
3;Copyright Page ;5
4;Table of Contents;10
5;Dedication;6
6;PREFACE;8
7;Chapter 1. Linear Systems;12
7.1;Introduction;12
7.2;1.1 The Axioms of Linear System Theory;14
7.3;1.2 Transform Techniques and the System Function;22
7.4;1.3 The Network Viewpoint—Some Illustrations;27
7.5;1.4 Summary;39
8;Chapter 2. Passive Systems;40
8.1;Introduction;40
8.2;2.1 Characterization of Linear, Time-Invariant, Passive Systems;41
8.3;2.2 Passive Immittance Operators;49
8.4;2.3 Representations of Bounded-Real and Positive-Real Matrices;58
8.5;2.4 Some Applications;84
8.6;2.5 Linear, Time-Varying, Passive Systems;92
8.7;2.6 Summary;95
9;Chapter 3. Lumped Networks;96
9.1;Introduction;96
9.2;3.1 Realization of Lumped Networks;96
9.3;3.2 Interpolation with Bounded-Real Functions;114
9.4;3.3 Some Applications;119
9.5;3.4 Active Lumped Networks;128
9.6;3.5 Summary;133
10;Chapter 4. Distributed Networks;135
10.1;Introduction;135
10.2;4.1 Modal Analysis of Passive Distributed Systems;136
10.3;4.2 Nonuniform Lossless Transmission Lines;147
10.4;4.3 Uniform Transmission Line Networks;179
10.5;4.4 Activity in Distributed Networks;187
10.6;4.5 Summary;197
11;Chapter 5. Topics in Optimization Theory and Their Applications in Network Theory;199
11.1;Introduction;199
11.2;5.1 Some Topics in Optimization Theory;200
11.3;5.2 An Example;211
11.4;5.3 Summary;216
12;Appendix I: A Brief Survey of Distribution Theory;217
13;Appendix II: The Inversion of a Sturm-Liouville Operator;226
14;Appendix III: Research Problems;232
15;Glossary of Symbols;239
16;Bibliography;240
17;Index;244