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Asymptotic stability of a class of adaptive systems
Author(s) -
Ortega Romeo,
Fradkov Alexander
Publication year - 1993
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.4480070403
Subject(s) - exponential stability , robustness (evolution) , homogeneous , control theory (sociology) , class (philosophy) , mathematics , stability (learning theory) , differential equation , mathematical analysis , computer science , nonlinear system , physics , artificial intelligence , biochemistry , chemistry , control (management) , quantum mechanics , combinatorics , machine learning , gene
In this short paper we give conditions for uniform asymptotic stability of the equilibrium of a class of non‐linear non‐homogeneous differential equations. This result is of interest in adaptive systems theory, where this strong stability allows us to establish some robustness properties.