Piecewise Linear Modeling and Analysis

  • Domine M. W. Leenaerts
  • Wim M. G. Van Bokhoven

Table of contents

  1. Front Matter
    Pages 1-13
  2. Domine M. W. Leenaerts, Wim M. G. Van Bokhoven
    Pages 15-29
  3. Domine M. W. Leenaerts, Wim M. G. Van Bokhoven
    Pages 31-77
  4. Domine M. W. Leenaerts, Wim M. G. Van Bokhoven
    Pages 79-104
  5. Domine M. W. Leenaerts, Wim M. G. Van Bokhoven
    Pages 105-133
  6. Domine M. W. Leenaerts, Wim M. G. Van Bokhoven
    Pages 135-180
  7. Domine M. W. Leenaerts, Wim M. G. Van Bokhoven
    Pages 181-200
  8. Back Matter
    Pages 201-208

About this book

Introduction

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.

Keywords

Phase Signal algorithms analog complex system complex systems logic model modeling network network analysis programming simulation transistor

Authors and affiliations

  • Domine M. W. Leenaerts
    • 1
  • Wim M. G. Van Bokhoven
    • 1
  1. 1.Eindhoven University of TechnologyThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-6190-0
  • Copyright Information Springer-Verlag US 1998
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-5046-8
  • Online ISBN 978-1-4757-6190-0
  • About this book