CONTROLO 2016 pp 131-141 | Cite as

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

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 402)

Abstract

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.

Keywords

Cancer modeling Gompertz model Exact linearization Adaptive control Lyapunov stability analysis 

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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.INESC-ID/IST, University of LisbonLisbonPortugal

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