Piecewise Linear (PL) approximation of non-linear behaviour is a
well-known technique in synthesis and analysis of electrical networks.
However, the PL description should be efficient in data storage and the
description should allow simple retrieval of the stored information.
Furthermore, it would be useful if the model description could handle a
large class of piecewise linear mappings.
Piecewise Linear Modeling and Analysis explains in detail all possible
model descriptions for efficiently storing piecewise linear functions,
starting with the Chua descriptions. Detailed explanation on how the
model parameter can be obtained for a given mapping is provided and
demonstrated by examples. The models are ranked to compare them and to
show which model can handle the largest class of PL mappings.
All model descriptions are implicitly related to the Linear
Complementarity Problem and most solution techniques for this problem,
like Katzenelson and Lemke, are discussed according to examples that are
explained in detail.
To analyse PL electrical networks a simulator is mandatory. Piecewise
Linear Modeling and Analysis provides a detailed outline of a possible
PL simulator, including pseudo-programming code. Several simulation
domains like transient, AC and distortion are discussed. The book
explains the attractive features of PL simulators with respect to
mixed-level and mixed-signal simulation while paying due regard also to
hierarchical simulation.
Piecewise Linear Modeling and Analysis shows in detail how many
existing components in electrical networks can be modeled. These range
from digital logic and analog basic elements such as transistors to
complex systems like Phase-Locked Loops and detection systems.
Simulation results are also provided. The book concludes with a
discussion on how to find multiple solutions for PL functions or
networks. Again, the most common techniques are outlined using clear
examples.
Piecewise Linear Modeling and Analysis is an indispensable guide for
researchers and designers interested in network theory, network
synthesis and network analysis.
