DocumentCode :
2826859
Title :
Estimate of the region of attraction for a class of nonlinear time delay systems: a leukemia post-transplantation dynamics example
Author :
Villafuerte, R. ; Mondié, S.
Author_Institution :
CINVESTAV-IPN, Mexico City
fYear :
2007
fDate :
12-14 Dec. 2007
Firstpage :
633
Lastpage :
638
Abstract :
In this contribution we present an estimate of the region of attraction of the exponentially stable trivial solution for a class of nonlinear time delay systems. The case of multiple delays is addressed. This constructive approach is based on the use of Lyapunov-Krasovskii functionals of complete type. The analysis of the region of attraction of the stable equilibrium of the model describing the post-transplantation dynamics of the immune response to chronic myelogenous leukemia completes this work.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; delays; diseases; nonlinear systems; Lyapunov-Krasovskii functional; attraction region estimation; chronic myelogenous leukemia; exponential stability; immune response; leukemia post-transplantation dynamics; multiple delays; nonlinear time delay systems; Added delay; Control systems; Delay effects; Delay estimation; Delay systems; H infinity control; Linear approximation; Nonlinear control systems; Nonlinear systems; USA Councils;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
ISSN :
0191-2216
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2007.4434724
Filename :
4434724
Link To Document :
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