Preface to the Dover Edition | p. vii |
Preface | p. ix |
Introduction | p. 1 |
Introduction | p. 3 |
Analysis and Synthesis | p. 3 |
Classical and Modern Approaches | p. 4 |
Outline of the Book | p. 6 |
Background Information-Networks and State-Space Equations | p. 9 |
m-Port Networks and their Port Descriptions | p. 11 |
Introduction | p. 11 |
m-Port Networks and Circuit Elements | p. 12 |
Tellegen's Theorem; Passive and Lossless Networks | p. 21 |
Impedance, Admittance, Hybrid and Scattering Descriptions of a Network | p. 28 |
Network Interconnections | p. 33 |
The Bounded Real Property | p. 42 |
The Positive Real Property | p. 51 |
Reciprocal m-Ports | p. 58 |
State-Space Equations and Transfer Function Matrices | p. 63 |
Descriptions of Lumped Systems | p. 63 |
Solving the State-Space Equations | p. 68 |
Properties of State-Space Realizations | p. 81 |
Minimal Realizations | p. 97 |
Construction of State-Space Equations from a Transfer Function Matrix | p. 104 |
Degree of a Rational Transfer Function Matrix | p. 116 |
Stability | p. 127 |
Network Analysis | p. 141 |
Network Analysis via State-Space Equations | p. 143 |
Introduction | p. 143 |
State-Space Equations for Simple Networks | p. 145 |
State-Space Equations via Reactance Extraction-Simple Version | p. 156 |
State-Space Equations via Reactance Extraction-The General Case | p. 170 |
State-Space Equations for Active Networks | p. 200 |
The State-Space Description of Passivity and Reciprocity | p. 213 |
Positive Real Matrices and the Positive Real Lemma | p. 215 |
Introduction | p. 215 |
Statement and Sufficiency Proof of the Positive Real Lemma | p. 218 |
Positive Real Lemma: Necessity Proof Based on Network Theory Results | p. 223 |
Positive Real Lemma: Necessity Proof Based on a Variational Problem | p. 229 |
Positive Real Lemma: Necessity Proof Based on Spectral Factorization | p. 243 |
The Positive Real Lemma: Other Proofs, and Applications | p. 258 |
Computation of Solutions of the Positive Real Lemma Equations | p. 267 |
Introduction | p. 267 |
Solution Computation via Riccati Equations and Quadratic Matrix Equations | p. 270 |
Solving the Riccati Equation | p. 273 |
Solving the Quadratic Matrix Equation | p. 276 |
Solution Computation via Spectral Factorization | p. 283 |
Finding All Solutions of the Positive Real Lemma Equations | p. 292 |
Bounded Real Matrices and the Bounded Real Lemma; The State-Space Description of Reciprocity | p. 307 |
Introduction | p. 307 |
The Bounded Real Lemma | p. 308 |
Solution of the Bounded Real Lemma Equations | p. 314 |
Reciprocity in State-Space Terms | p. 320 |
Network Synthesis | p. 327 |
Formulation of State-Space Synthesis Problems | p. 329 |
An Introduction to Synthesis Problems | p. 329 |
The Basic Impedance Synthesis Problem | p. 330 |
The Basic Scattering Matrix Synthesis Problem | p. 339 |
Preliminary Simplification by Lossless Extractions | p. 347 |
Impedance Synthesis | p. 369 |
Introduction | p. 369 |
Reactance Extraction Synthesis | p. 372 |
Resistance Extraction Synthesis | p. 386 |
A Reciprocal (Nonminimal Resistive and Reactive) Impedance Synthesis | p. 393 |
Reciprocal Impedance Synthesis | p. 405 |
Introduction | p. 405 |
Reciprocal Lossless Synthesis | p. 406 |
Reciprocal Synthesis via Reactance Extraction | p. 408 |
Reciprocal Synthesis via Resistance Extraction | p. 418 |
A State-Space Bayard Synthesis | p. 427 |
Scattering Matrix Synthesis | p. 442 |
Introduction | p. 442 |
Reactance Extraction Synthesis of Nonreciprocal Networks | p. 444 |
Reactance Extraction Synthesis of Reciprocal Networks | p. 454 |
Resistance Extraction Scattering Matrix Synthesis | p. 463 |
Transfer Function Synthesis | p. 474 |
Introduction | p. 474 |
Nonreciprocal Transfer Function Synthesis | p. 479 |
Reciprocal Transfer Function Synthesis | p. 490 |
Transfer Function Synthesis with Prescribed Loading | p. 497 |
Active RC Networks | p. 509 |
Active State-Space Synthesis | p. 511 |
Introduction to Active RC Synthesis | p. 511 |
Operational Amplifiers as Circuit Elements | p. 513 |
Transfer Function Synthesis Using Summers and Integrators | p. 519 |
The Biquad | p. 526 |
Other Approaches to Active RC Synthesis | p. 530 |
Epilogue: What of the Future? | p. 537 |
Subject Index | p. 539 |
Author Index | p. 546 |
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