首页/论文/2005.02301

arXiv 2005.023012020-05-01math.OCcs.SYeess.SY

Regional Strategic Sensors Characterizations

Raheam A Mansor Al-Saphory, Mohammed A Al-Joubory, Mahmood K Jasim

备注：: 18 Pages, 6 Figures, regular paper
发表信息：: Journal of Mathematical and Computational Science, (2013), No. 2, 401-418, http://scik.org/index.php/jmcs/article/view/810 ISSN: 1927-5307
DOI：: 10.13140/RG.2.1.4239.8245

英文摘要：

In this paper, a linear infinite dimensional distributed systems in a Hilbert space has been discussed and analyzed where the dynamics of system is governed by strongly continuous semi-groups. The characterizations of regional strategic sensors have been given and tackled for different cases of regional observability. Furthermore, the results so obtained are applied to two-dimensional systems. Various cases of sensors are considered and analyzed. Also, the authors show that, the existent of a sensor for the diffusion system is not strategic in the usual sense, but it may be regionally strategic of this system.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Regional gradient strategic sensors characterizations

In the present paper, the characterizations of regional gradient strategic sensors notions have been given for different cases of regional gradient observability. The results obtained are applied to two dimensional linear infinite distributed system in Hilbert space where the dynamic is governed by strongly continuous semi-group. Various cases of regional strategic sensors are considered and analyzed in connection with regional gradient strategic sensors concepts. Also, we show that there is a various sensors which are not gradient strategic in usual sense for the considered systems, but may b…

2020-05-13cs.SYeess.SYmath.OC

Regional Boundary Gradient Strategic Sensors Characterizations

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 wi…

2020-05-01cs.SYeess.SYmath.OC

Regional Boundary Strategic Sensors Characterizations

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 th…

2020-05-09math.OC

Regional boundary gradient strategic sensors in Neumann conditions

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 app…

2020-05-27math.OC

具有策略性的传感器估计

Estimation with Strategic Sensors

University of Melbourne（墨尔本大学）；KTH Royal Institute of Technology（皇家理工学院）；University of Illinois at Urbana–Champaign（伊利诺伊大学厄巴纳-香槟分校）

本文研究了在策略性传感器存在下的估计问题，分析了静态和动态估计中的均衡策略，发现传感器数量增加时估计质量可能下降，但若传感器互相模仿则质量提升。

2015-06-25cs.GTcs.SYeess.SY

在参与感知机制中促进诚实行为

Promoting Truthful Behaviour in Participatory-Sensing Mechanisms

University of Melbourne（墨尔本大学）

研究非线性估计器与策略性传感器的互动，证明在无噪声测量情况下，诚实行为是博弈均衡，分析了传感器结盟和噪声环境下的估计器性能。

2015-03-10cs.GTcs.SYeess.SY

更多相关论文收起更多论文

Regional boundary exponential reduced observability in distributed parameter systems

The aim of this chapter is to introduce the concept of regional boundary exponential reduced observability in connection with the sensors characterizations on a sub-region on boundary of the considered domain boundary. More precisely, we explore the original results devoted to this concept in linear dynamical systems which is generated by a strongly continuous semi-group in Hilbert space of order one. Thus, the existence of sufficient conditions is presented and examined for regional boundary exponential reduced estimator in parabolic infinite dimensional systems. Finally, we apply these resul…

2020-05-08math.OC

Algorithms for regional source localization

In this paper we use the MAP criterion to locate a region containing a source. Sensors placed in a field of interest divide the latter into smaller regions and take measurements that are transmitted over noisy wireless channels. We propose implementations of our algorithm that consider complete and limited communication among sensors and seek to choose the most likely hypothesis. Each hypothesis corresponds to the event that a given region contains the source. Corrupted measurements are used to calculate conditional posteriors. We prove that the algorithms asymptotically find the correct regio…

2009-03-17math.OC

Regional exponential general observability in diffusion problem

The aim of this paper is to extend the concept of regional exponential general observability to the case of Neumann boundary conditions problem in diffusion system. More precisely, for linear distributed parameter diffusion systems, we show that the sensors characterizations allow to reconstruct the regional exponential state in a sub-region of the considered systems domain. Moreover, various interesting results associated with the choice of sensors are given and illustrated in specific situations in order regional exponential general observability notion to be achieved. Finally, we also show …

2020-05-27math.OC