Regional boundary gradient strategic sensors in Neumann conditions

TL;DR

This paper investigates the design and analysis of regional boundary gradient sensors for Neumann boundary problems in distributed parameter systems, providing conditions for their effectiveness and applying them to a 2D circular domain.

Contribution

It introduces original results on regional boundary gradient sensors in Neumann problems, including sufficient conditions for their observability and practical applications to 2D circular domains.

Findings

Derived sufficient conditions for regional boundary gradient observability.

Applied results to a 2D circular domain with various sensor configurations.

Validated the effectiveness of sensors through case studies.

Abstract

The main idea of this paper is to explore and present the original results related to the notion of regional boundary gradient strategic sensors in distributed parameter system for Neumann problem. Thus, this systems is described by parabolic state space partial differential equations where the dynamic is governed by strongly continuous semi-group in Hilbert space. In addition, we give the sufficient conditions which are guaranteed the characterizations for such sensors in order that regional boundary approximately gradient observability can be achieved and proved. The obtained results are applied to two-dimensional circular in a part of considered system domain with various cases of sensors locations are tackled and studied.