Estimate of the region of attraction for a class of nonlinear time delay systems: a leukemia post-transplantation dynamics example

摘要

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.