Content :
Network topology: Matrices associated with graphs,
the short
circuit and open circuit operations, their
generalization
through the use of ideal transformers and
vector space
operations corresponding to these operations.
Theorems of Tellegen and Minty: Formal equivalence,
areas of applications.
The Implicit Duality Theorem and
its applications:
Multiport decomposition, ideal transformer
resulting
from the connection of ideal transformers, adjoint
Networks and systems, networks with decomposition
methods based on altering network topology, ideal diode,
ideal transformer, resistor circuits and their
relation
to Linear and Quadratic Programming.
Reference:
S.Seshu and M.B.Reed, Linear Graphs and Electrical
Networks,
Addison Wesley,1961.
H.Narayanan, Submodular
Functions and Electrical Networks,
Annals of Discrete Maths,
vol-54, North Holland,1997.
Home
page of Advanced Network Analysis
Instructor : H.
Narayanan
Type :Under
Graduates
Sem : Spring
Credits: 6
Lecture
Hours per Week :3 |
