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Piecewise Linear Modeling and Analysis (Paperback, Softcover reprint of hardcover 1st ed. 1998)
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Piecewise Linear Modeling and Analysis (Paperback, Softcover reprint of hardcover 1st ed. 1998)
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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.
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