Regional Boundary Gradient Detectability in Distributed Parameter Systems

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 2

Abstract

The aim of this paper is study and explore the notion of  the regional boundary gradient detectability in connection with the choice of strategic gradient sensors on sub-region of the considered system domain boundary. More precisely, the principal reason behind introducing this notion is that the possibility to design a dynamic system (may be called regional boundary gradient observer) which enable to estimate the unknown system state gradient. Then for linear infinite dimensional systems in a Hilbert space,  we give various new results related with different measurements. In addition, we provided a description of the regional boundary exponential gradient strategic sensors for completion the regional boundary exponential gradient observability and regional boundary exponential gradient detectability. Finally, we present and illustrate the some applications of sensors structures which relate by regional boundary exponential gradient detectability in diffusion distributed parameter systems.

Authors and Affiliations

Raheam Al Saphory, Mrooj Al Bayati

Keywords

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  • EP ID EP651857
  • DOI 10.24297/jam.v14i2.7478
  • Views 156
  • Downloads 0

How To Cite

Raheam Al Saphory, Mrooj Al Bayati (2018). Regional Boundary Gradient Detectability in Distributed Parameter Systems. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7818-7833. https://europub.co.uk/articles/-A-651857