Gradient observability and sensors for hyperbolic systems

Boutoulout, Ali; Bourray, Hamid; Khazari, Adil

doi:10.24297/ijct.v10i2.3302

Cited by 4 publications

(10 citation statements)

References 5 publications

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“…Then, we have shown that, the possibility to design a dynamic system which is enable to estime the state gradient in sub -region Γ of the boundary Ω bu using detectability and strategic sensors in different situations. Moreover, many proble m still opend like the development of these results to case of haperbolic distributed parameter systems as in [25].…”

Section: Resultsmentioning

confidence: 99%

“…In this sub-section, we introduce some definitions and descriptions of regional boundary gradient observability, detectability and strategic sensors, which is derived of [20][21][22][23][24][25][26]. Consider the autonomous system of (1) define by…”

Section: Definitions and Characterizationsmentioning

confidence: 99%

“…Thus, this concept which is given important tool to solve many problems in real world not in total domain of the considered system state but in sub -region of the domain or of the boundary [17][18][19]. Later, another direction of regional analysis has been extended is the system state gradient for observability, detectability and strategic sensors [20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Regional Boundary Gradient Detectability in Distributed Parameter Systems

Al-Saphory

Bayati

2018

JAM

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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.

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Section: Resultsmentioning

confidence: 99%

Section: Definitions and Characterizationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Regional Boundary Gradient Detectability in Distributed Parameter Systems

Al-Saphory

Bayati

2018

JAM

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“…weakly) G-observable on 2 Γ . see [9]. Definition 2 The semilinear system (1) augmented by the output function (3) is said to be gradient observable or G-observable on Γ (resp.…”

Section: Remarkmentioning

confidence: 99%

“…This concept has been widely developed see [1] [2]. Afterwards, the concept of regional gradient observability for parabolic systems has been developed see [3]- [7] and for hyperbolic systems see [8] [9], it concerns the reconstruction of the gradient conditions initials only in a critical subregion interior to the system domain without the knowledge of the conditions initials.…”

Section: Introductionmentioning

confidence: 99%

Sectorial Approach of the Gradient Observability of the Hyperbolic Semilinear Systems Intern and Boundary Cases

Khazari¹,

Boutoulout²

2016

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The aim of this paper is to study the notion of the gradient observability on a subregion ω of the evolution domain Ω and also we consider the case where the subregion of interest is a boundary part of the system evolution domain for the class of semilinear hyperbolic systems. We show, under some hypotheses, that the flux reconstruction is guaranteed by means of the sectorial approach combined with fixed point techniques. This leads to several interesting results which are performed through numerical examples and simulations.

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Regional Boundary Strategic Sensors Characterizations

Al-Saphory¹,

Kolaib²

2018

JAM

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This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of the system is governed by strongly continuous semi-groups. More precisely, for parabolic distributed systems the characterizations of regional boundary strategic sensors have been discussed and analyzed in different cases of regional boundary observability in infinite time interval. Furthermore, the results so obtained are applied in two-dimensional systems and the sensors are studied under which conditions guarantee regional boundary observability in a sub-region of the system domain boundary. Also, the authors show that, the existence of a given sensor for the diffusion system is not strategic in the usual sense, but it may be regional boundary strategic of this system.

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Gradient observability and sensors for hyperbolic systems

Cited by 4 publications

References 5 publications

Regional Boundary Gradient Detectability in Distributed Parameter Systems

Regional Boundary Gradient Detectability in Distributed Parameter Systems

Sectorial Approach of the Gradient Observability of the Hyperbolic Semilinear Systems Intern and Boundary Cases

Regional Boundary Strategic Sensors Characterizations

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