scholarly journals Finding all solutions of separable systems of piecewise-linear equations using integer programming

2012 ◽  
Vol 236 (11) ◽  
pp. 2844-2852 ◽  
Author(s):  
Kiyotaka Yamamura ◽  
Naoya Tamura
Keyword(s):  
Integer Programming ◽  
Piecewise Linear ◽  
Linear Equations ◽  
All Solutions ◽  
Piecewise Linear Equations

scholarly journals Modeling nonlinear systems using multiple piecewise linear equations

2010 ◽  
Vol 15 (4) ◽  
pp. 451-458 ◽  
Author(s):  
G. K. Lowe ◽  
M. A. Zohdy
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Linear Function ◽  
Piecewise Linear ◽  
Linear Equations ◽  
Piecewise Linear Function ◽  
Target System ◽  
Large Signal ◽  
Third Order ◽  
Piecewise Linear Equations

This paper describes a technique for modeling nonlinear systems using multiple piecewise linear equations. The technique provides a means for linearizing the nonlinear system in such a way as to not limit the large signal behavior of the target system. The nonlinearity in the target system must be able to be represented as a piecewise linear function. A simple third order nonlinear system is used to demonstrate the technique. The behavior of the modeled system is compared to the behavior of the nonlinear system.

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