Drug Administration Design for Cancer Gompertz Model Based on the Lyapunov Method

This article addresses the design of therapeutic procedures for cancer using a control based on the Gompertz model, that describes the nonlinear dynamics of tumor growth. The aim is to reduce the tumor size according to a decreasing target reference. The approach presented on this work uses a control Lyapunov function and yields an adaptive PI strategy that results from the exact linearization. It is concluded that the closed-loop system is globally asymptotically stable and is robust with respect to the presence of model parameter uncertainty.