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Analysis of scale invariance property applying homogeneity

Emmanuel Bernuau 1 Denis Efimov 2, 3 Wilfrid Perruquetti 2, 3, 4
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The problem of scalability of trajectories in homogeneous and locally homogeneous systems is considered. It is shown that the homogeneous systems have scalability property, and locally homogeneous systems possess this property approximately. The issue of closeness of trajectories for the system and its local homogeneous approximation is investigated. The notions of scale invariance and fold change detection are also studied. The results are illustrated by a cascade system analysis.
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https://hal.inria.fr/hal-00964081
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Submitted on : Wednesday, March 26, 2014 - 3:51:36 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:14 PM
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Emmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti. Analysis of scale invariance property applying homogeneity. 19th IFAC World Congress 2014, Aug 2014, Cape Town, South Africa. ⟨hal-00964081⟩

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