Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach
Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach作者机构：TSI Team MACS Laboratory Faculty of Sciences Moulay Ismail University Meknes Morocco
出 版 物：《Intelligent Control and Automation》 (智能控制与自动化（英文）)
年 卷 期：2017年第8卷第1期
页 面：15-28页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Distributed Systems Parabolic Systems Regional Enlarged Observability Gradient Reconstruction HUM Approach
摘 要：This paper is focused on studying an important concept of the system analysis, which is the regional enlarged observability or constrained observability of the gradient for distributed parabolic systems evolving in the spatial domain Ω We will explore an approach based on the Hilbert Uniqueness Method (HUM), which can reconstruct the initial gradient state between two prescribed functions f1 and f2 only in a critical subregion ω of Ω without the knowledge of the state. Finally, the obtained results are illustrated by numerical simulations.
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