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Exponential estimates for neutral time delay systems with multiple delays
Author(s) -
Kharitonov Vladimir,
Collado Joaquín,
Mondié Sabine
Publication year - 2005
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.1041
Subject(s) - exponential stability , mathematics , exponential function , mathematical proof , homogeneous , exponential growth , operator (biology) , control theory (sociology) , stability (learning theory) , mathematical analysis , computer science , nonlinear system , control (management) , physics , combinatorics , biochemistry , chemistry , geometry , repressor , quantum mechanics , artificial intelligence , machine learning , transcription factor , gene
Abstract Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given. The case of systems with uncertainties, including uncertainties in the difference operator, is considered. The proofs follows from new results on non‐homogeneous difference equations evolving in continuous time combined with the Lyapunov–Krasovskii functionals approach. The conditions are expressed in terms of linear matrix inequalities. The particular case of neutral time delay systems with commensurate delays, which leads to less restrictive exponential estimates, is also addressed. Copyright © 2005 John Wiley & Sons, Ltd.