Premium
Necessary conditions for the exponential stability of time‐delay systems via the Lyapunov delay matrix
Author(s) -
Egorov A.V.,
Mondié S.
Publication year - 2014
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/rnc.2962
Subject(s) - lyapunov function , control theory (sociology) , stability (learning theory) , exponential stability , matrix (chemical analysis) , mathematics , exponential function , computer science , mathematical analysis , control (management) , nonlinear system , physics , materials science , quantum mechanics , artificial intelligence , machine learning , composite material
SUMMARY Exponential necessary stability conditions for linear systems with multiple delays are presented. The originality of these conditions is that, in analogy with the case of delay free systems, they depend on the Lyapunov matrix function of the delay system. They are validated by examples for which the analytic characterization of the stability region is known. Copyright © 2013 John Wiley & Sons, Ltd.