Fundamentals of Network Analysis & Synthesis

This book provides the Advanced undergraduate and Beginning graduate Student in Electrical Engineering with a comprehensive treatment of the fundamental Topics in network theory. The contents of the book are developed in such a manner that the only prerequisite for a course based on this text is an Elementary Knowledge of Circuit analysis.

Behrouz Peikari received his Ph.D. degree in Electrical Engineering from the University of California, Berkeley, USA. He is presently Professor, Electrical Engineering Department at Southern Methodist University (SMU), and is the recipient of several Outstanding Electrical Engineering Faculty Awards at SMU. Dr. Peikari is a member of several Professional and honor Societies and has served as the Associate Editor of the Ieee Transactions on Systems, Man, and Cybernetics.

Preface

I. NETWORK ELEMENTS :
1. Introduction
2. Two-Terminal Resistors
3. Two-Terminal Capacitors
4. Two-Terminal Inductors
5. Multiterminal Network Elements
Problems

II. NETWORK CHARACTERIZATION :
1. Introduction
2. Introductory Matrix Algebra
3. Norm of Vectors and Matrices
4. Linear Versus Nonlinear n Ports
5. Time-Varying Versus Time-Invariant n Ports
6. Passive Versus Active n Ports
7. Causal and Nonanticipative Networks
8. Stable and Unstable Networks
Problems

III. NETWORK GRAPH THEORY :
1. Notations and Definitions
2. Incidence Matrix and Kirchhoff's Current Law
3. Loop Matrix and Kirchhoff's Voltage Law
4. Interrelationship between Matrices of a Graph
5. Tellegen's Theorem and Its Application
Problems

IV. ANALYSIS OF LINEAR TIME-INVARIANT NETWORKS :
1. Introduction
2. Direct Analysis Methods
3. Nodal Analysis
4. Loop Analysis
5. Analysis of Networks Containing Dependent Sources
6. Sinusoidal Steady-State Analysis
7. Network Functions
Problems

V. STATE-VARIABLE REPRESENTATION OF NETWORKS :
1. Introduction
2. Preliminary Considerations
3. State-Variable Formulation of Proper Networks
4. Concept of State and Order of Complexity of a Network
5. State-Variable Formulation of General Networks
Problems

VI. TIME-DOMAIN SOLUTION OF STATE EQUATIONS :
1. Introduction
2. Solution of Linear Time-Invariant State Equations
3. Solution of Linear Time-Varying State Equations
4. Solution of Nonlinear State Equations
Problems

VII. COMPUTER-AIDED NETWORK ANALYSIS :
1. Introduction
2. Computer-Aided Analysis of Linear Resistive Networks
3. Computer Solution of Sinusoidal Steady-State Response of Linear Time-Invariant Networks
4. Computer Solution of Nonlinear Resistive Networks
5. Computer Solution of State Equations
Problems

VIII. PASSIVE AND ACTIVE NETWORK Synthesis :
1. Introduction
2. Positive Real Functions and Matrices
3. Driving-Point Synthesis of Reactance Functions
4. Synthesis of RC and RL Networks
5. Synthesis of General RLC Networks (Brune Synthesis)
6. Bott-Duffin Synthesis (Transformerless Synthesis)
7. Active Network Synthesis
8. Sensitivity Considerations in Network Design
Problems

IX. COMPUTER-AIDED NETWORK DESIGN :
1. Introduction
2. Iterative Methods in Computer-Aided Design
3. Mean Squared Error Optimization
4. General Optimization Methods
5. Application of Adjoint Network in Computing the Gradient
6. Computer-Aided Design of Linear Time-Varying Networks
Problems

X. SMALL-SIGNAL ANALYSIS AND DESIGN OF NONLINEAR NETWORKS :
1. Introduction
2. Small-Signal Analysis of Autonomous Networks
3. Small-Signal Analysis of Nonautonomous Networks
4. Frozen-Operating-Point Method of Small-Signal Analysis
5. Design of Nonlinear Networks
Problems

XI. Stability ANALYSIS OF LINEAR AND NONLINEAR NETWORKS :
1. Introduction
2. Zero-Input Stability
3. Equilibrium Stability of Linear Autonomous Networks
4. Equilibrium Stability of Nonlinear Autonomous Networks
5. Lyaponov Stability of Nonautonomous Networks
6. Bounded Input-Bounded Output Stability
Problems