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Componentwise stability of linear systems: a non‐symmetrical case
Author(s) -
Hmamed A.,
Benzaouia A.
Publication year - 1997
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(199711)7:11<1023::aid-rnc257>3.0.co;2-m
Subject(s) - exponential stability , extension (predicate logic) , mathematics , exponential function , stability (learning theory) , linear system , control theory (sociology) , mathematical analysis , computer science , nonlinear system , physics , control (management) , machine learning , artificial intelligence , quantum mechanics , programming language
In this paper, we present an extension of the concept of componentwise asymptotic (exponential) stability of linear systems in the non‐symmetrical case. The main motivation for these results is the need for a more detailed evaluation of the dynamical behaviour of linear systems in electrical engineering and biology. Necessary and sufficient conditions for componentwise asymptotic (exponential) stability in the non‐symmetrical case are given. The symmetrical case is obtained as a particular case. © 1997 by John Wiley & Sons, Ltd.