Network analysis and synthesis: a modern systems theory approach
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Mineola [u.a.]
Dover
2006
|
| Ausgabe: | Reprint |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018586155&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 548 S. graph. Darst. |
| ISBN: | 048645357X |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1819335512731680768 |
|---|---|
| adam_text | Table of Contents
Preface to the Dover Edition, vii
Preface, ix
Part I INTRODUCTION
1 Introduction, 3
1.1 Analysis and Synthesis, 3
1.2 Classical and Modern Approaches, 4
1.3 Outline of the Book, 6
Part II BACKGROUND INFORMATION—NETWORKS
AND STATE-SPACE EQUATIONS
2 m-Port Networks and their Port
Descriptions, 11
2.1 Introduction, 11
2.2 m-Port Networks and Circuit Elements, 12
2.3 Tellegen’s Theorem; Passive and Lossless Networks, 21
2.4 Impedance, Admittance, Hybrid and Scattering Descriptions of a
Network, 28
2.5 Network Interconnections, 33
2.6 The Bounded Real Property, 42
2.7 The Positive Real Property, 51
2.8 Reciprocal w-Ports, 58
3 State-Space Equations and Transfer
Function Matrices, 63
3.1 Descriptions of Lumped Systems, 63
3.2 Solving the State-Space Equations, 68
3.3 Properties of State-Space Realizations, 81
3.4 Minimal Realizations, 97
3.5 Construction of State-Space Equations from a Transfer Function
Matrix, 104
3.6 Degree of a Rational Transfer Function Matrix, 116
3.7 Stability, 127
Part III NETWORK ANALYSIS 141
4 Network Analysis via State-Space
Equations, 143
4.1 Introduction, 143
4.2 State-Space Equations for Simple Networks, 145
4.3 State-Space Equations via Reactance Extraction—Simple Version, 156
4.4 State-Space Equations via Reactance Extraction—The General
Case, 170
4.5 State-Space Equations for Active Networks, 200
Part IV THE STATE-SPACE DESCRIPTION
OF PASSIVITY AND RECIPROCITY 213
5 Positive Real Matrices and the Positive
Real Lemma, 216
5.1 Introduction, 215
5.2 Statement and Sufficiency Proof of the Positive Real Lemma, 218
5.3 Positive Real Lemma: Necessity Proof Based on Network Theory
Results, 223
5.4 Positive Real Lemma: Necessity Proof Based on a Variational
Problem, 229
5.5 Positive Real Lemma: Necessity Proof Based on Spectral
Factorization, 243
5.6 The Positive Real Lemma: Other Proofs, and Applications, 258
iv
6 Computation of Solutions of the Positive
Real Lemma Equations, 267
6.1 Introduction, 267
6.2 Solution Computation via Riccati Equations and
Quadratic Matrix Equations, 270
6.3 Solving the Riccati Equation, 273
6.4 Solving the Quadratic Matrix Equation, 276
6.5 Solution Computation via Spectral Factorization, 283
6.6 Finding All Solutions of the Positive Real Lemma Equations, 292
7 Bounded Real Matrices and the Bounded
Real Lemma; The State-Space
Description of Reciprocity, 307
7A Introduction, 307
1.2 The Bounded Real Lemma, 308
7.3 Solution of the Bounded Real Lemma Equations, 314
7.4 Reciprocity in State-Space Terms, 320
Part V NETWORK SYNTHESIS
8 Formulation of State-Space Synthesis
Problems, 329
8.1 An Introduction to Synthesis Problems, 329
8.2 The Basic Impedance Synthesis Problem, 330
8.3 The Basic Scattering Matrix Synthesis Problem, 339
8.4 Preliminary Simplification by Lossless Extractions, 347
9 Impedance Synthesis, 369
9.1 Introduction, 369
9.2 Reactance Extraction Synthesis, 372
9.3 Resistance Extraction Synthesis, 386
9.4 A Reciprocal (Nonminimal Resistive and Reactive)
Impedance Synthesis, 393
327
v
10 Reciprocal Impedance Synthesis, 405
10.1 Introduction, 405
10.2 Reciprocal Lossless Synthesis, 406
10.3 Reciprocal Synthesis via Reactance Extraction, 408
10.4 Reciprocal Synthesis via Resistance Extraction, 418
10.5 A State-Space Bayard Synthesis, 427
11 Scattering Matrix Synthesis, 442
11.1 Introduction, 442
11.2 Reactance Extraction Synthesis of Nonreciprocal Networks, 444
11.3 Reactance Extraction Synthesis of Reciprocal Networks, 454
11.4 Resistance Extraction Scattering Matrix Synthesis, 463
12 Transfer Function Synthesis, 474
12.1 Introduction, 474
12.2 Nonreciprocal Transfer Function Synthesis, 479
12.3 Reciprocal Transfer Function Synthesis, 490
12.4 Transfer Function Synthesis with Prescribed Loading, 497
Part VI ACTIVE RC NETWORKS
13 Active State-Space Synthesis, 511
13.1 Introduction to Active RC Synthesis, 511
13.2 Operational Amplifiers as Circuit Elements, 513
13.3 Transfer Function Synthesis Using Summers and Integrators, 519
13.4 The Biquad, 526
13.5 Other Approaches to Active RC Synthesis, 530
Epilogue: What of the Future? 537
Subject Index, 539
Author Index, 546
509
vi
|
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| author_role | aut aut |
| author_sort | Anderson, Brian D. O. 1949- |
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| building | Verbundindex |
| bvnumber | BV024613650 |
| classification_rvk | SK 950 ZN 5320 |
| ctrlnum | (OCoLC)815876009 (DE-599)BVBBV024613650 |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | Reprint |
| format | Book |
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| id | DE-604.BV024613650 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:58:49Z |
| institution | BVB |
| isbn | 048645357X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018586155 |
| oclc_num | 815876009 |
| open_access_boolean | |
| owner | DE-83 DE-384 DE-739 |
| owner_facet | DE-83 DE-384 DE-739 |
| physical | XI, 548 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Dover |
| record_format | marc |
| spellingShingle | Anderson, Brian D. O. 1949- Sumeth Vongpanitlerd Network analysis and synthesis a modern systems theory approach Netzwerktheorie (DE-588)4171531-7 gnd Netzwerkanalyse (DE-588)4075298-7 gnd Netzwerksynthese (DE-588)4115365-0 gnd Systemtheorie (DE-588)4058812-9 gnd |
| subject_GND | (DE-588)4171531-7 (DE-588)4075298-7 (DE-588)4115365-0 (DE-588)4058812-9 |
| title | Network analysis and synthesis a modern systems theory approach |
| title_auth | Network analysis and synthesis a modern systems theory approach |
| title_exact_search | Network analysis and synthesis a modern systems theory approach |
| title_full | Network analysis and synthesis a modern systems theory approach Brian D. O. Anderson ; Sumeth Vongpanitlerd |
| title_fullStr | Network analysis and synthesis a modern systems theory approach Brian D. O. Anderson ; Sumeth Vongpanitlerd |
| title_full_unstemmed | Network analysis and synthesis a modern systems theory approach Brian D. O. Anderson ; Sumeth Vongpanitlerd |
| title_short | Network analysis and synthesis |
| title_sort | network analysis and synthesis a modern systems theory approach |
| title_sub | a modern systems theory approach |
| topic | Netzwerktheorie (DE-588)4171531-7 gnd Netzwerkanalyse (DE-588)4075298-7 gnd Netzwerksynthese (DE-588)4115365-0 gnd Systemtheorie (DE-588)4058812-9 gnd |
| topic_facet | Netzwerktheorie Netzwerkanalyse Netzwerksynthese Systemtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018586155&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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