Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach

作     者：Adil Khazari Ali Boutoulout 

作者机构：TSI Team MACS Laboratory Department of Mathematics & Computer 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：2014年第5卷第3期

页      面：170-181页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Distributed Systems Hyperbolic Systems Gradient Reconstruction Regional Observability Fixed Point Sectorial Operator 

摘      要：The aim of this work is to study the notion of the gradient observability on a subregion?ω of the evolution domain?Ω for a class of semilinear hyperbolic systems. We show, under some hypothesis, that the gradient reconstruction is achieved following sectorial approach combined with fixed point techniques. The obtained results lead to an algorithm which can be implemented numerically.