Piecewise Linear Modeling and Analysis

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 Linea...

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Bibliographic Details
Main Authors: Leenaerts, Domine, van Bokhoven, Wim M.G. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 1998, 1998
Edition:1st ed. 1998
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Piecewise Linear Modeling and Analysis  |h Elektronische Ressource  |c by Domine Leenaerts, Wim M.G. van Bokhoven 
250 |a 1st ed. 1998 
260 |a New York, NY  |b Springer US  |c 1998, 1998 
300 |a X, 198 p  |b online resource 
505 0 |a 1.The state model of a piecewise linear network -- 2. Piecewise linear model descriptions -- 3. Solution algorithms -- 4. Piecewise Linear analysis -- 5. Piecewise linear modeling of electrical circuits -- 6. Multiple Solutions 
653 |a Computer Communication Networks 
653 |a Electrical and Electronic Engineering 
653 |a Electrical engineering 
653 |a Control theory 
653 |a Systems Theory, Control 
653 |a Computer networks  
653 |a Electronic circuits 
653 |a System theory 
653 |a Electronic Circuits and Systems 
700 1 |a van Bokhoven, Wim M.G.  |e [author] 
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520 |a 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.  
520 |a 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.  
520 |a The book concludes with a discussion on how to find multiple solutions for PL functions or networks. Again, the most common techniques areoutlined 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