Approximate Controllability of a Class of Semilinear Coupled Degenerate Systems

被引：0
|
作者：
Xu, Fengdan [1 ]
Zhou, Qian [1 ]
Nie, Yuanyuan [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2021年 / 27卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Approximate controllability; Degenerate system; Kakutani fixed point theorem; NULL CONTROLLABILITY; PARABOLIC EQUATIONS;
D O I：
10.1007/s10883-020-09484-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the approximate controllability of a class of semilinear systems governed by coupled degenerate parabolic equations. The equations may be weakly degenerate and strongly degenerate on a portion of the lateral boundary. We prove that the control systems are approximately controllable by using the Kakutani fixed point theorem and the controls can be taken to be of quasi bang-bang form.
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页码：31 / 49
页数：19
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