论文标题
区域边界梯度战略传感器在诺伊曼条件下
Regional boundary gradient strategic sensors in Neumann conditions
论文作者
论文摘要
本文的主要思想是探索并提出与诺伊曼问题分布式参数系统中区域边界梯度战略传感器概念有关的原始结果。因此,该系统由抛物线状态空间部分微分方程描述,在抛物线状态偏微分方程中,动态受希尔伯特空间中强连续的半组控制。此外,我们提供了足够的条件,可以保证该传感器的特征,以便可以实现和证明区域边界近似梯度可观察性。在考虑到各种传感器位置的一部分中,将获得的结果应用于二维圆形。
The main idea of this paper is to explore and present the original results related to the notion of regional boundary gradient strategic sensors in distributed parameter system for Neumann problem. Thus, this systems is described by parabolic state space partial differential equations where the dynamic is governed by strongly continuous semi-group in Hilbert space. In addition, we give the sufficient conditions which are guaranteed the characterizations for such sensors in order that regional boundary approximately gradient observability can be achieved and proved. The obtained results are applied to two-dimensional circular in a part of considered system domain with various cases of sensors locations are tackled and studied.