Impulse output feedback stabilization of Fisher's equation

被引：1

作者：

Liu, Hanbing ^{[1
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

来源：

SYSTEMS & CONTROL LETTERS | 2017年 / 107卷

基金：

中国国家自然科学基金;

关键词：

Fisher's equation; Local stabilization; Impulse output feedback controller; SYSTEMS; TIME;

D O I：

10.1016/j.sysconle.2017.07.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An explicit impulse output feedback controller has been designed in Phung (2016) for stabilization of the linear heat equation. The aim of this work is to show that the feedback controller of the same form as in Phung (2016) can locally exponentially stabilize the equilibrium solutions to Fisher's equation in L-2(0, 1). (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：17 / 21

页数：5

共 20 条

[1] Output feedback boundary control of a Ginzburg-Landau model of vortex shedding
Aamo, Ole Morten
Smyshlyaev, Andrey
Krstic, Miroslav
Foss, Bjarne A.
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (04) : 742 - 748
[2] ABLOWITZ MJ, 1979, B MATH BIOL, V41, P835, DOI 10.1007/BF02462380
[3] BENSOUSSAN A, 1974, APPLIED MATH OPTIM, P289
[4] Brackett R., 1999, COMM CONTROL ENG SER, P75
[5] ON THE STABILIZATION OF CONTROLLABLE AND OBSERVABLE SYSTEMS BY AN OUTPUT-FEEDBACK LAW
CORON, JM
[J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1994, 7 (03) : 187 - 216
[6] CURTAIN R.F., 1982, Lecture Notes in Control and Opimization, V44, P761
[7] The wave of advance of advantageous genes
Fisher, RA
[J]. ANNALS OF EUGENICS, 1937, 7 : 355 - 369
[8] ICHIKAWA K, 1972, INT J CONTROL, V16, P513, DOI 10.1080/00207177208932281
[9] Bang-bang property for time optimal control of semilinear heat equation
Kim Dang Phung
Wang, Lijuan
Zhang, Can
[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2014, 31 (03): : 477 - 499
[10] Output-feedback stabilization of an unstable wave equation
Krstic, Miroslav
Guo, Bao-Zhu
Balogh, Andras
Smyshlyaev, Andrey
[J]. AUTOMATICA, 2008, 44 (01) : 63 - 74

← 1 2 →