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