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

Related Articles

Semiorthogonal B-spline Wavelet for Solving 2D- Nonlinear Fredholm-Hammerstein Integral Equations

This work is concerned with the study of the second order (linear) semiorthogonal B-spline wavelet method to solve one-dimensional nonlinear Fredholm-Hammerstein integral equations of the second kind. Proof of the existe...

SOME RESULTS ON KENMOTSU MANIFOLDS ADMITTING QUARTER SYMMETRIC NON METRIC CONNECTION

In this paper we have studied the some curvature properties of a quarter-symmetric non metric connection of Kenmostu manifolds. We also studied the some properties of projective ricci tensor, pseudo projective curvature...

Numerical Solutions of Volterra Integral Equation of Second kind Using Implicit Trapezoidal

In this paper, we will be find numerical solution of Volterra Integral Equation of Second kind through using Implicit trapezoidal and that by using Maple 17 program, then we found that numerical solution was highly accur...

Numerical Solution of Eikonal Equation Using Finite Difference Method

In this paper, a method to calculate tsunami wave front is introduced using the finite difference method to solve the ill-posed problem and to calculate perturbed velocity of the wave front. Comparison between the actual...

On the solutions of nonlinear second order differential equation with finite delay

The main aim of this paper is to study the approximate solutions, uniqueness and other properties of solutions of nonlinear second order differential equation with given initial values. A variant of the well known Gronwa...

Download PDF file
  • EP ID EP651857
  • DOI 10.24297/jam.v14i2.7478
  • Views 155
  • 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