Regional gradient observability for semilinear hyperbolic systems: HUM approach

被引：3
作者：
Khazari A. [1 ]
Boutoulout A. [2 ]
El Harraki I. [3 ]
机构：
[1] École Nationale de Commerce et de gestion, Sidi Mohamed Ben Abdellah University, Fez
[2] TSI Team, MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes
[3] École nationale supérieure des mines de Rabat, Rabat
来源：
Control Theory and Technology | 2018年 / 16卷 / 01期
关键词：
Distributed systems; fixed point; regional gradient observability; regional reconstruction; semilinear hyperbolic systems;
D O I：
10.1007/s11768-018-6122-9
中图分类号：
学科分类号：
摘要：
The paper aims to extend the notion of regional observability of the gradient to the semilinear hyperbolic case, in order to reconstruct the gradient of the initial conditions in a subregion ω of the domain evolutionΩ. We start with an asymptotically linear system, the approach is based on an extension of the Hilbert uniqueness method (HUM) and Schauder’s fixed point theorem. The analysis leads to an algorithm which is successfully numerically implemented and illustrated with examples and simulations. © 2018, South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature.
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页码：72 / 80
页数：8
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