Enlarged Gradient Observability for Distributed Parabolic Systems: HUM Approach

• 作者: Ali Boutoulout Fatima Zahrae EL Alaoui Hayat Zouiten
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: DISTRIBUTED SYSTEMS Parabolic SYSTEMS Regional ENLARGED OBSERVABILITY GRADIENT Reconstruction HUM APPROACH
• 年，卷（期）: 2017,（1）
• 页码范围: 15-28
• 页数: 14页
• 分类号: O1

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.