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Approximation of Piecewise Affine Homeomorphisms by Diffeomorphisms

✍ Scribed by Carlos Mora-Corral, Aldo Pratelli


Book ID
120956795
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
505 KB
Volume
24
Category
Article
ISSN
1050-6926

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Lebesgue piecewise affine approximation
✍ Shun-ichi Azuma; Jun-ichi Imura; Toshiharu Sugie πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier 🌐 English βš– 997 KB

This paper addresses a piecewise affine (PWA) approximation problem, i.e., a problem of finding a PWA system model which approximates a given nonlinear system. First, we propose a new class of PWA systems, called the Lebesgue PWA approximation systems, as a model to approximate nonlinear systems. Ne