Exact null controllability of the Lobesia botrana model with diffusion

被引：14

作者：

He, Yuan ^{[1
,2
]}

Ainseba, Bedr'Eddine ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Univ Bordeaux, Inst Math Bordeaux, UMR CNRS 5251, F-33076 Bordeaux, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 01期

关键词：

Population dynamics; Integro-partial differential equations; Exact null controllability; Fixed point theorem; POPULATION-DYNAMICS;

D O I：

10.1016/j.jmaa.2013.07.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to analyze the exact null controllability of the diffusive Lobesia botrana model with nonlocal boundary condition. We study the null controllability of butterfly population by acting on eggs, larvas and female moths in a small age interval. We assume that the control of female moths is in a certain given region of the vineyard. The main result is established by combining some estimations and the Carleman inequality for the backward system related to an optimal control problem. A fixed point theorem is then used to draw the conclusion. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：530 / 543

页数：14

共 50 条

[1] NULL CONTROLLABILITY AND EXACT CONTROLLABILITY FOR PARABOLIC EQUATIONS
WECK, N
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1987, 97 : 389 - 396
[2] Agronomic techniques to control Lobesia botrana
Vartholomaiou, Aikaterini N.
Navrozldis, Emmanuel I.
Payne, Christopher C.
Salpiggidis, Georgios A.
PHYTOPARASITICA, 2008, 36 (03) : 264 - 271
[3] A remark on null exact controllability of the heat equation
Zhang, X
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (01) : 39 - 53
[4] Exact null controllability of semilinear evolution systems
Mahmudov, Nazim I.
JOURNAL OF GLOBAL OPTIMIZATION, 2013, 56 (02) : 317 - 326
[5] An exact null controllability of stochastic singular systems
Zhaoqiang GE
Xiaochi GE
Science China(Information Sciences), 2021, 64 (07) : 247 - 249
[6] ON APPROXIMATE AND EXACT NULL CONTROLLABILITY OF DELAY SYSTEMS
COLONIUS, F
SYSTEMS & CONTROL LETTERS, 1984, 5 (03) : 209 - 211
[7] An exact null controllability of stochastic singular systems
Zhaoqiang Ge
Xiaochi Ge
Science China Information Sciences, 2021, 64
[8] Exact null controllability of semilinear evolution systems
Nazim I. Mahmudov
Journal of Global Optimization, 2013, 56 : 317 - 326
[9] An exact null controllability of stochastic singular systems
Ge, Zhaoqiang
Ge, Xiaochi
SCIENCE CHINA-INFORMATION SCIENCES, 2021, 64 (07)
[10] ON THE NULL-CONTROLLABILITY OF DIFFUSION EQUATIONS
Tenenbaum, Gerald
Tucsnak, Marius
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2011, 17 (04) : 1088 - 1100

← 1 2 3 4 5 →