Impulsive control of single-input nonlinear systems with application to HIV dynamics

被引：37

作者：

Rivadeneira, P. S. ^{[1
,2
]}

Moog, C. H. ^{[2
]}

机构：

[1] INTEC Fac Ingn Quim UNL CONICET, Grp Sistemas Lineales, RA-3000 Santa Fe, Argentina

[2] UMR CNRS 6597, IRCCyN, LUNAM, F-44321 Nantes 03, France

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

关键词：

Impulsive control; Nonlinear systems; Accessibility; Exact linearization; HIV dynamics; COMBINATION; INFECTION; THERAPIES; MODEL;

D O I：

10.1016/j.amc.2012.01.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some fundamental analysis and results are introduced for the accessibility of impulsive control systems (ICS). The main result is the characterization of accessibility for nonlinear ICS based on the 'number of impulses' which is required. These results naturally generalize and correct some earlier results obtained for linear ICS. The theory developed is applied to an impulsive model of the dynamics of human immunodeficiency virus (HIV) subject to medication. It is shown that HIV system fulfills the accessibility criterion. Finally, an impulsive control strategy is designed based on exact linearization to improve the response immune system of a patient of HIV. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：8462 / 8474

页数：13

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