Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach

• 作者: Adil Khazari Ali Boutoulout
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: Distributed SYSTEMS HYPERBOLIC SYSTEMS GRADIENT Reconstruction Regional OBSERVABILITY Fixed Point Sectorial OPERATOR
• 年，卷（期）: 2014,（3）
• 页码范围: 170-181
• 页数: 12页
• 分类号: O1

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.