论文标题
区域边界梯度战略传感器表征
Regional Boundary Gradient Strategic Sensors Characterizations
论文作者
论文摘要
本文的目的是表征要实现的区域边界梯度观察情况不同情况的区域边界梯度战略传感器概念。然后,基于如何从内部梯度区域到边界梯度区域的交叉的表征。因此,所获得的结果被应用于希尔伯特空间中的二维线性无限分布系统,该系统由强烈连续的半集团控制。此外,我们在空间域欧米茄的子区域小gama上提供了区域梯度可观察性与区域边界梯度的可观察性在边界欧米茄的子区域GAMA上的关系。最后,探索,分析和讨论的区域边界梯度战略传感器概念的足够条件是与精确(弱)可观察性,正确定可观察性操作员和等级条件的区域边界梯度有关的。
The purpose of this paper is to characterize regional boundary gradient strategic sensors notions for different cases of regional boundary gradient observation to be achieved. Then, the characterizations based on how to a cross from internal gradient region to the boundary gradient region. Thus, the obtained results are applied in two dimensional linear infinite distributed systems in Hilbert space where the dynamics are governed by strongly continuous semi-group. Moreover, we give the relation between the regional gradient observability on a subregion small Gama of the spatial domain Omega with the regional boundary gradient observability on a subregion Gama of the boundary Omega of. Finally, sufficient conditions of regional boundary gradient strategic sensors notions are explored, analyzed and discussed in connection with the regional boundary gradient of exact (weak) observability, positive definite observability operator and rank conditions.