区域边界战略传感器表征
Regional Boundary Strategic Sensors Characterizations
摘要：
本文研究了希尔伯特空间中的线性无穷维分布参数系统，其中系统的动力学由强连续半群控制。更准确地说，对于抛物型分布系统的区域边界的战略传感器的特性进行了讨论和分析，在不同的情况下，在无限时间间隔的区域边界可观性。此外，这样得到的结果被应用在二维系统和传感器的研究条件下，保证区域边界可观性的子区域的系统域边界。同时，作者还证明了扩散系统的一个给定传感器的存在性不是通常意义上的策略，但它可能是该系统的区域边界策略。
英文摘要：
This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of the system is governed by strongly continuous semi-groups. More precisely, for parabolic distributed systems the characterizations of regional boundary strategic sensors have been discussed and analyzed in different cases of regional boundary observability in infinite time interval. Furthermore, the results so obtained are applied in two-dimensional systems and the sensors are studied under which conditions guarantee regional boundary observability in a sub-region of the system domain boundary. Also, the authors show that, the existence of a given sensor for the diffusion system is not strategic in the usual sense, but it may be regional boundary strategic of this system.
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