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Stability conditions for integral delay systems
Author(s) -
MelchorAguilar Daniel,
Kharitonov Vladimir,
Lozano Rogelio
Publication year - 2008
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.1405
Subject(s) - stability (learning theory) , quadratic equation , mathematics , exponential stability , class (philosophy) , control theory (sociology) , stability conditions , computer science , control (management) , physics , nonlinear system , statistics , geometry , discrete time and continuous time , quantum mechanics , machine learning , artificial intelligence
In this paper we consider a special class of integral delay systems arising in several stability problems of time‐delay systems. For these integral systems we derive stability and robust stability conditions in terms of Lyapunov–Krasovskii functionals. More explicitly, after providing the stability conditions we compute quadratic functionals and apply them to derive exponential estimates for solutions, and robust stability conditions for perturbed integral delay systems. Copyright © 2008 John Wiley & Sons, Ltd.