检索结果-南通市图书馆

An Optimal Control Problem of a Coupled nonlinear parabolic Population System

Acta Mathematicae Applicatae Sinica 2007年第3期23卷 377-388页

作者： Chao-hua Jia De-xing Feng Department of Applied Mathematics LMIB of the Ministry of Education Beijing University of Aeronauticsand Astronautics Beijing 100083 China Academy of Mathematics and systems Science Chinese Academy of Sciences Beijing 100080 China

An optimal control problem for a coupled nonlinear parabolic population system is considered. The existence and uniqueness of the positive solution for the system is shown by the method of upper and lower solutions. An explicit prior bound of solutions to the system is given by considering an auxiliary coupled linear system. The existence of the optimal control is proved and the characterization of the optimal control is established.

关键词： nonlinear parabolic systems optimal control upper and lower solutions

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Existence of Periodic Solutions of nonlinear systems with nonlinear Boundary Conditions

引用

Acta Mathematica Sinica,English Series 1995年第4期11卷 439-445页

作者： Xiang, Xiaolin Luo, Tao Department of Mathematics Guizhou University Guiyang China Institute of Mathematics Academia Sinica Beijing China

In this paper we consider the periodic solutions of nonlinear parabolic systems with nonlinear boundary *** constructing the Poincare operator,we obtain the existence of Wp2β-periodic weak solutions under some reason... 详细信息

关键词： nonlinear parabolic systems nonlinear boundary conditions Periodic solutions Semigroup

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Backstepping-Based Distributed Abnormality Detection for Nolinear parabolic Distributed Prameter systems

引用

Engineering（科研） 2022年第7期14卷 285-299页

作者： Lei Chen School of Mathematics and Statistics Shandong Normal University Jinan China

In this paper, we proposed a model-based abnormality detection scheme for a class of nonlinear parabolic distributed parameter systems (DPSs). The proposed methodology consists of the design of an observer and an abnormality detection filter (ADF) based on the backstepping technique and a limited number of in-domain measurements plus one boundary measurement. By taking the difference between the measured and estimated outputs from observer, a residual signal is generated for fault detection. For the detection purpose, the residual is evaluated in a lumped manner and we propose an explicit expression for the time-varying threshold. The convergence properties of the PDE observer and the residual are analyzed by Lyapunov stability theory. Eventually, the proposed abnormality detection scheme is demonstrated on a nonlinear DPS.

关键词： Abnormality Detection Backstepping nonlinear parabolic systems Distributed Parameter systems Lyapunov Function

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：