On the Output Stabilization for a Class of Infinite Dimensional Bilinear Systems

Zerrik, El Hassan; Aadi, Abderrahman Ait

doi:10.1007/978-3-030-26149-8_14

Cited by 3 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is interested to study the problem of the treatment of water by using a bioreactor where the objective is to estimate the concentration of substrate at the boundary output of the bioreactor in order the water regulation is achieved ( figure 1) [26]. Section 2 concerns the class of considered system, definition, characterizations in connection with sensors and preliminaries of regional boundary gradient observability and detectability.…”

Section: Introductionmentioning

confidence: 99%

Regional Boundary Asymptotic Gradient Full Order Observer via Internal Region

Reaheam

2020

QJPS

View full text Add to dashboard Cite

The purpose of this paper is to deals with the problem of regional boundary asymptotic gradient full order observer (-observer) concept by using internal regional case. Thus, we study the relation between this notion and the corresponding asymptotic detectability and sensors. More precisely, various important results have been examined and explored concern an extension of an approach which enables to reconstruct the gradient of current state from internal region. In addition, it has been shown that the characterization of -observability under which conditions to be achieved. Finally, we have illustrate that there is a dynamical system which does not represent the observer in the usual sense, but it could be interpreted as a -observer.

show abstract

Section: Introductionmentioning

confidence: 99%

Regional Boundary Asymptotic Gradient Full Order Observer via Internal Region

Reaheam

2020

QJPS

View full text Add to dashboard Cite

show abstract

“…. Secondly, it is closer to a real situation, the treatment of water by using a bioreactor where the objective is to detect the concentration of substrate at the boundary output of the bioreactor in order the water regulation is achieved (for example see figure 1) [27]. The outline of this paper is organized as follow.…”

Section: Introductionmentioning

confidence: 99%

Regional Boundary Gradient Detectability in Distributed Parameter Systems

Al-Saphory

Bayati

2018

JAM

View full text Add to dashboard Cite

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.

show abstract

On the stabilization for a class of distributed bilinear systems

Zerrik

Aadi

2019

Third International Conference of Mathematical Sciences (Icms 2019)

View full text Add to dashboard Cite

On the Output Stabilization for a Class of Infinite Dimensional Bilinear Systems

Cited by 3 publications

References 10 publications

Regional Boundary Asymptotic Gradient Full Order Observer via Internal Region

Regional Boundary Asymptotic Gradient Full Order Observer via Internal Region

Regional Boundary Gradient Detectability in Distributed Parameter Systems

On the stabilization for a class of distributed bilinear systems

Contact Info

Product

Resources

About