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## A Generalized and Advanced Viewpoint

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- 1st Edition - January 1, 1969
- Author: M. Ronald Wohlers
- Editors: Henry G. Booker, Nicholas Declaris
- Language: English
- Hardback ISBN:9 7 8 - 1 - 4 8 3 1 - 9 6 2 1 - 3
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 0 7 8 1 - 0
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 2 1 2 4 - 3

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… Read more

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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.

PrefaceI. Linear Systems Introduction 1.1 The Axioms of Linear System Theory 1.2 Transform Techniques and the System Function 1.3 The Network Viewpoint—Some Illustrations 1.4 SummaryII. Passive Systems Introduction 2.1 Characterization of Linear, Time-Invariant, Passive Systems 2.2 Passive Immittance Operators 2.3 Representations of Bounded-Real and Positive-Real Matrices 2.4 Some Applications 2.5 Linear, Time-Varying, Passive Systems 2.6 SummaryIII. Lumped Networks Introduction 3.1 Realization of Lumped Networks 3.2 Interpolation with Bounded-Real Functions 3.3 Some Applications 3.4 Active Lumped Networks 3.5 SummaryIV. Distributed Networks Introduction 4.1 Modal Analysis of Passive Distributed Systems 4.2 Nonuniform Lossless Transmission Lines 4.3 Uniform Transmission Line Networks 4.4 Activity in Distributed Networks 4.5 SummaryV. Topics in Optimization Theory and Their Applications in Network Theory Introduction 5.1 Some Topics in Optimization Theory 5.2 An Example 5.3 SummaryAppendix I. A Brief Survey of Distribution TheoryAppendix II. The Inversion of a Sturm-Liouville OperatorAppendix III. Research ProblemsGlossary of SymbolsBibliographyIndex

- No. of pages: 246
- Language: English
- Edition: 1
- Published: January 1, 1969
- Imprint: Academic Press
- Hardback ISBN: 9781483196213
- Paperback ISBN: 9781483207810
- eBook ISBN: 9781483221243

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