Ph. D. From Perpignan University, academic of Montpelier, FRANCE Republic, Professor Dr. , in Control Systems and Analysis at the University of TIKRIT, IRAQ Republic.
The objective of this paper is to study the stability of charged isentropic superdense star model... more The objective of this paper is to study the stability of charged isentropic superdense star models. A limitation of the density variation for different models guided by a specific choice of measure of departure from physical geometry of the physical space to ensure the physical acceptability has been obtained and analyzed for the stability performance. The solution so obtained has investigates large density and pressure at the center of the super dense star model; however the energy conditions are seen to be satisfied throughout certain spherical regions. In addition to that, the analysis yields a strong indication that the model is stable with respect to infinitesimal redial pulsation. We also found that the adiabatic speed of sound is smaller than unity inside the fluid sphere if and only if the radius of the sphere is larger than 1.46 times of its Schwarzschild radius. Furthermore the solution for K= -11 (case study), has been tested for the stability and found it is stable for l...
Abstract: The aim of this paper is to study the regional observer concept through the considerati... more Abstract: The aim of this paper is to study the regional observer concept through the consideration of sensors. For a class of distributed diffusion systems, we propose an approach derived from the Luenberger observer type as introduced by Gressang and Lamont [1]. Furthermore, we show that the structures of sensors allow the existence of regional observer and we give a sufficient condition for each regional observer. We also show that, there exists a dynamical system for diffusion systems is not observer in the usual sense, but it may be regional observer.
The main idea of this paper is to explore and present the original results related to the notion ... more 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.
In the present paper, the characterizations of regional gradient strategic sensors notions have b... more In the present paper, the characterizations of regional gradient strategic sensors notions have been given for different cases of regional gradient observability. The results obtained are applied to two dimensional linear infinite distributed system in Hilbert space where the dynamic is governed by strongly continuous semi-group. Various cases of regional strategic sensors are considered and analyzed in connection with regional gradient strategic sensors concepts. Also, we show that there is a various sensors which are not gradient strategic in usual sense for the considered systems, but may be regionally gradient strategic of this system.
The regional exponential reduced observability concept in the presence for linear dynamical syste... more The regional exponential reduced observability concept in the presence for linear dynamical systems is addressed for a class of distributed parameter systems governed by strongly continuous semi group in Hilbert space. Thus, the existence of necessary and sufficient conditions is established for regional exponential reduced estimator in parabolic infinite dimensional systems. More precisely, the introduced approach is developed by using the decomposed system and reduced system in connection with various new concepts of (stability, detectability, estimator, observability and strategic sensors). Finally, we also show that there exists a dynamical system for two-phase exchange system described by the coupled parabolic equations is not exponentially reduced observable in usual sense, but it may be regionally exponentially reduced observable.
This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert... more This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of 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 sensors studied under which conditions guarantee regional boundary observability in a sub-region of the system domain boundary. Also, the authors show that, the existent of a sensor for the diffusion system is not strategic in the usual sense, but it may be regional boundary strategic of this system.
In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dyna... more In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dynamics of the system are governed by strongly continuous semigroups. We study the concept of regional compensator in connection with the structures of actuators and sensors. We consider a class of parabolic distributed systems and we give various results related with different types of actions (resp. measurements), of domains and boundary conditions. We also show that, there exists a dynamical system for the considered system which is not compensator in the usual sense, but it may be regional compensator. Furthermore, we apply these results to the regional compensation of a diffusion systems.
Many real problems in the control and asymptotic observation of distributed parameter systems can... more Many real problems in the control and asymptotic observation of distributed parameter systems can be reformulated as problems of infinite-dimensional systems, in a domain Ω [1, 2, 3 and 4]. An extension of detectability, is that of asymptotic (respectively exponential) regional ω-...
The important problem of detecting distributed parameter systems has received much attention in t... more The important problem of detecting distributed parameter systems has received much attention in the literatures ([1] and references therein) in order to determinate the asymptotic (respectively exponential) state of the considered systems. These systems are the general ...
In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dyna... more In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dynamics of the system are governed by strongly continuous semigroups. We study the concept of regional compensator in connection with the structures of actuators and sensors. We consider a class of parabolic distributed systems and we give various results related with different types of actions (resp. measurements), of domains and boundary conditions. We also show that, there exists a dynamical system for the considered system which is not compensator in the usual sense, but it may be regional compensator. Furthermore, we apply these results to the regional compensation to a diffusion system.
The aim of this paper is to extend the notion of general asymptotic regional gradient observer (-... more The aim of this paper is to extend the notion of general asymptotic regional gradient observer (-observer) to the reduced order case. More precisely, we study and discuss the existing of this approach in a sub-region of the considered domain. Thus, we show that the approach is enables to estimate the unknown part of the state gradient when the output function gives part of information about the region state in ω. The characterization of this notion depend on regional gradient strategic sensors (-sensor) concept in order that asymptotic regional gradient reduced-order observability (-observability) to be achieved and analyzed. An application presented to various situation cases of strategic sensors.
The objective of this paper is to study the stability of charged isentropic superdense star model... more The objective of this paper is to study the stability of charged isentropic superdense star models. A limitation of the density variation for different models guided by a specific choice of measure of departure from physical geometry of the physical space to ensure the physical acceptability has been obtained and analyzed for the stability performance. The solution so obtained has investigates large density and pressure at the center of the super dense star model; however the energy conditions are seen to be satisfied throughout certain spherical regions. In addition to that, the analysis yields a strong indication that the model is stable with respect to infinitesimal redial pulsation. We also found that the adiabatic speed of sound is smaller than unity inside the fluid sphere if and only if the radius of the sphere is larger than 1.46 times of its Schwarzschild radius. Furthermore the solution for K= -11 (case study), has been tested for the stability and found it is stable for l...
Abstract: The aim of this paper is to study the regional observer concept through the considerati... more Abstract: The aim of this paper is to study the regional observer concept through the consideration of sensors. For a class of distributed diffusion systems, we propose an approach derived from the Luenberger observer type as introduced by Gressang and Lamont [1]. Furthermore, we show that the structures of sensors allow the existence of regional observer and we give a sufficient condition for each regional observer. We also show that, there exists a dynamical system for diffusion systems is not observer in the usual sense, but it may be regional observer.
The main idea of this paper is to explore and present the original results related to the notion ... more 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.
In the present paper, the characterizations of regional gradient strategic sensors notions have b... more In the present paper, the characterizations of regional gradient strategic sensors notions have been given for different cases of regional gradient observability. The results obtained are applied to two dimensional linear infinite distributed system in Hilbert space where the dynamic is governed by strongly continuous semi-group. Various cases of regional strategic sensors are considered and analyzed in connection with regional gradient strategic sensors concepts. Also, we show that there is a various sensors which are not gradient strategic in usual sense for the considered systems, but may be regionally gradient strategic of this system.
The regional exponential reduced observability concept in the presence for linear dynamical syste... more The regional exponential reduced observability concept in the presence for linear dynamical systems is addressed for a class of distributed parameter systems governed by strongly continuous semi group in Hilbert space. Thus, the existence of necessary and sufficient conditions is established for regional exponential reduced estimator in parabolic infinite dimensional systems. More precisely, the introduced approach is developed by using the decomposed system and reduced system in connection with various new concepts of (stability, detectability, estimator, observability and strategic sensors). Finally, we also show that there exists a dynamical system for two-phase exchange system described by the coupled parabolic equations is not exponentially reduced observable in usual sense, but it may be regionally exponentially reduced observable.
This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert... more This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of 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 sensors studied under which conditions guarantee regional boundary observability in a sub-region of the system domain boundary. Also, the authors show that, the existent of a sensor for the diffusion system is not strategic in the usual sense, but it may be regional boundary strategic of this system.
In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dyna... more In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dynamics of the system are governed by strongly continuous semigroups. We study the concept of regional compensator in connection with the structures of actuators and sensors. We consider a class of parabolic distributed systems and we give various results related with different types of actions (resp. measurements), of domains and boundary conditions. We also show that, there exists a dynamical system for the considered system which is not compensator in the usual sense, but it may be regional compensator. Furthermore, we apply these results to the regional compensation of a diffusion systems.
Many real problems in the control and asymptotic observation of distributed parameter systems can... more Many real problems in the control and asymptotic observation of distributed parameter systems can be reformulated as problems of infinite-dimensional systems, in a domain Ω [1, 2, 3 and 4]. An extension of detectability, is that of asymptotic (respectively exponential) regional ω-...
The important problem of detecting distributed parameter systems has received much attention in t... more The important problem of detecting distributed parameter systems has received much attention in the literatures ([1] and references therein) in order to determinate the asymptotic (respectively exponential) state of the considered systems. These systems are the general ...
In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dyna... more In this paper, we deal with linear infinite dimensional systems in a Hilbert space where the dynamics of the system are governed by strongly continuous semigroups. We study the concept of regional compensator in connection with the structures of actuators and sensors. We consider a class of parabolic distributed systems and we give various results related with different types of actions (resp. measurements), of domains and boundary conditions. We also show that, there exists a dynamical system for the considered system which is not compensator in the usual sense, but it may be regional compensator. Furthermore, we apply these results to the regional compensation to a diffusion system.
The aim of this paper is to extend the notion of general asymptotic regional gradient observer (-... more The aim of this paper is to extend the notion of general asymptotic regional gradient observer (-observer) to the reduced order case. More precisely, we study and discuss the existing of this approach in a sub-region of the considered domain. Thus, we show that the approach is enables to estimate the unknown part of the state gradient when the output function gives part of information about the region state in ω. The characterization of this notion depend on regional gradient strategic sensors (-sensor) concept in order that asymptotic regional gradient reduced-order observability (-observability) to be achieved and analyzed. An application presented to various situation cases of strategic sensors.
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