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Piecewise‐linear modelling and simulation of nonlinear networks
Author(s) -
Chien MingJeh
Publication year - 1978
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490060208
Subject(s) - piecewise linear function , computation , nonlinear system , rectangle , piecewise , piecewise linear manifold , computer science , fixed point , point (geometry) , mathematical optimization , mathematics , algorithm , mathematical analysis , geometry , physics , quantum mechanics
This paper presents a method which combines the modelling and simulation of a nonlinear network together. The main idea is to divide the rectangle of interest into simplices by imposing a fixed ordering. It turns out that the creation of a piecewise‐linear model and the computation of an approximate solution are greatly simplified because of the use of simplices. Some examples show that it is possible to apply the method to ‘fixed point’ problems and other types of problems.