The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform

Antoine Girard - One of the best experts on this subject based on the ideXlab platform.

  • Singular Perturbation Approach for Linear Coupled ODE-PDE Systems
    Delays and Interconnections: Methodology Algorithms and Applications, 2019
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper focuses on a class of linear coupled ODE-PDE systems whose dynamics evolve in two time scales. The fast time scale modeled by a small positive Perturbation Parameter is introduced to the dynamics either of the ODE or of the PDE. By setting the Perturbation Parameter to zero, two subsystems, namely the reduced and the boundary-layer subsystems, are formally computed. Firstly, we propose a sufficient stability condition for the full coupled system. This stability condition implies the stability of both subsystems. Then, we state an approximation of the full coupled ODE-PDE systems by the subsystems based on the singular Perturbation method. The error between the solution of the full system and that of the subsystems is the order of the Perturbation Parameter. Finally, numerical simulations on academic examples illustrate the theoretical results.

  • Singular Perturbation approximation by means of a H 2 Lyapunov function for linear hyperbolic systems
    Systems & Control Letters, 2016
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    Abstract A linear hyperbolic system of two conservation laws with two time scales is considered in this paper. The fast time scale is modeled by a small Perturbation Parameter. By formally setting the Perturbation Parameter to zero, the full system is decomposed into two subsystems, the reduced subsystem (representing the slow dynamics) and the boundary-layer subsystem (standing for the fast dynamics). The solution of the full system can be approximated by the solution of the reduced subsystem. This result is obtained by using a H 2 Lyapunov function. The estimate of the errors is the order of the Perturbation Parameter for all initial conditions belonging to H 2 and satisfying suitable compatibility conditions. Moreover, for a particular subset of initial conditions, more precise estimates are obtained. The main result is illustrated by means of numerical simulations.

  • Singular Perturbation Approximation of Linear Hyperbolic Systems of Balance Laws
    IEEE Transactions on Automatic Control, 2016
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This technical note deals with a class of linear hyperbolic systems of balance laws with multiple time scales. The scale of time constants is modeled by a Perturbation Parameter. This Parameter is introduced in both dynamics and boundary conditions. The solution of the full system is approximated by that of the reduced subsystem when the Perturbation Parameter is small enough. Lyapunov technique is used to prove it. The main result is illustrated by an academic example. Moreover, the boundary control synthesis to a gas flow transport model is shown based on singular Perturbation approach.

  • CDC - Stability analysis of a singularly perturbed coupled ODE-PDE system
    2015 54th IEEE Conference on Decision and Control (CDC), 2015
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a Perturbation Parameter. Firstly, the Perturbation Parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the Perturbation Parameter is introduced into the ODE system.

  • Stability analysis of a singularly perturbed coupled ODE-PDE system
    2015 54th IEEE Conference on Decision and Control (CDC), 2015
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a Perturbation Parameter. Firstly, the Perturbation Parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the Perturbation Parameter is introduced into the ODE system.

Adam Viktorin - One of the best experts on this subject based on the ideXlab platform.

  • The Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm Solving CEC 2019 100-Digit Challenge
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Tomas Kadavy, Michal Pluhacek, Roman Senkerik, Adam Viktorin
    Abstract:

    This paper presents the result of the "Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm" (ESP-SOMA) on CEC 2019 100-Digit Challenge. This algorithm reached score around 52 out of maximum 100 with only a few Parameters to set. ESP-SOMA has manifested notable potential in this demanding challenge.

  • Ensemble of Strategies and Perturbation Parameter Based SOMA for Constrained Technological Design Optimization Problem
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Roman Senkerik, Tomas Kadavy, Adam Viktorin, Michal Pluhacek
    Abstract:

    In this paper, we are introducing a novel ensemble based adaptive strategy for the Self Organizing Migrating Algorithm (SOMA), namely the "Ensemble of Strategies and Perturbation Parameter in SOMA" (ESP-SOMA). The proposed algorithm as well as several other state of the art selected metaheuristic algorithms are utilized in the task of optimization of waste processing batch reactor geometry and control. Since there is a growing demand for intelligent and fast problem solution or optimal utilization of resources in modern industrial field, especially in the Industry 4.0 era, this paper represents an insight into the applicability and effectivity of modern adaptive state of the art metaheuristic optimization algorithms in the task of highly constrained industrial design optimization problem. The simple statistical comparison of the results given by three different metaheuristic algorithms is also reported here.

  • CEC - Ensemble of Strategies and Perturbation Parameter Based SOMA for Constrained Technological Design Optimization Problem
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Roman Senkerik, Tomas Kadavy, Adam Viktorin, Michal Pluhacek
    Abstract:

    In this paper, we are introducing a novel ensemble based adaptive strategy for the Self Organizing Migrating Algorithm (SOMA), namely the "Ensemble of Strategies and Perturbation Parameter in SOMA" (ESP-SOMA). The proposed algorithm as well as several other state of the art selected metaheuristic algorithms are utilized in the task of optimization of waste processing batch reactor geometry and control. Since there is a growing demand for intelligent and fast problem solution or optimal utilization of resources in modern industrial field, especially in the Industry 4.0 era, this paper represents an insight into the applicability and effectivity of modern adaptive state of the art metaheuristic optimization algorithms in the task of highly constrained industrial design optimization problem. The simple statistical comparison of the results given by three different metaheuristic algorithms is also reported here.

  • CEC - The Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm Solving CEC 2019 100-Digit Challenge
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Tomas Kadavy, Michal Pluhacek, Roman Senkerik, Adam Viktorin
    Abstract:

    This paper presents the result of the "Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm" (ESP-SOMA) on CEC 2019 100-Digit Challenge. This algorithm reached score around 52 out of maximum 100 with only a few Parameters to set. ESP-SOMA has manifested notable potential in this demanding challenge.

Ying Tang - One of the best experts on this subject based on the ideXlab platform.

  • Singular Perturbation Approach for Linear Coupled ODE-PDE Systems
    Delays and Interconnections: Methodology Algorithms and Applications, 2019
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper focuses on a class of linear coupled ODE-PDE systems whose dynamics evolve in two time scales. The fast time scale modeled by a small positive Perturbation Parameter is introduced to the dynamics either of the ODE or of the PDE. By setting the Perturbation Parameter to zero, two subsystems, namely the reduced and the boundary-layer subsystems, are formally computed. Firstly, we propose a sufficient stability condition for the full coupled system. This stability condition implies the stability of both subsystems. Then, we state an approximation of the full coupled ODE-PDE systems by the subsystems based on the singular Perturbation method. The error between the solution of the full system and that of the subsystems is the order of the Perturbation Parameter. Finally, numerical simulations on academic examples illustrate the theoretical results.

  • Singular Perturbation approximation by means of a H 2 Lyapunov function for linear hyperbolic systems
    Systems & Control Letters, 2016
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    Abstract A linear hyperbolic system of two conservation laws with two time scales is considered in this paper. The fast time scale is modeled by a small Perturbation Parameter. By formally setting the Perturbation Parameter to zero, the full system is decomposed into two subsystems, the reduced subsystem (representing the slow dynamics) and the boundary-layer subsystem (standing for the fast dynamics). The solution of the full system can be approximated by the solution of the reduced subsystem. This result is obtained by using a H 2 Lyapunov function. The estimate of the errors is the order of the Perturbation Parameter for all initial conditions belonging to H 2 and satisfying suitable compatibility conditions. Moreover, for a particular subset of initial conditions, more precise estimates are obtained. The main result is illustrated by means of numerical simulations.

  • Singular Perturbation Approximation of Linear Hyperbolic Systems of Balance Laws
    IEEE Transactions on Automatic Control, 2016
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This technical note deals with a class of linear hyperbolic systems of balance laws with multiple time scales. The scale of time constants is modeled by a Perturbation Parameter. This Parameter is introduced in both dynamics and boundary conditions. The solution of the full system is approximated by that of the reduced subsystem when the Perturbation Parameter is small enough. Lyapunov technique is used to prove it. The main result is illustrated by an academic example. Moreover, the boundary control synthesis to a gas flow transport model is shown based on singular Perturbation approach.

  • CDC - Stability analysis of a singularly perturbed coupled ODE-PDE system
    2015 54th IEEE Conference on Decision and Control (CDC), 2015
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a Perturbation Parameter. Firstly, the Perturbation Parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the Perturbation Parameter is introduced into the ODE system.

  • Stability analysis of a singularly perturbed coupled ODE-PDE system
    2015 54th IEEE Conference on Decision and Control (CDC), 2015
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a Perturbation Parameter. Firstly, the Perturbation Parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the Perturbation Parameter is introduced into the ODE system.

Tomas Kadavy - One of the best experts on this subject based on the ideXlab platform.

  • The Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm Solving CEC 2019 100-Digit Challenge
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Tomas Kadavy, Michal Pluhacek, Roman Senkerik, Adam Viktorin
    Abstract:

    This paper presents the result of the "Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm" (ESP-SOMA) on CEC 2019 100-Digit Challenge. This algorithm reached score around 52 out of maximum 100 with only a few Parameters to set. ESP-SOMA has manifested notable potential in this demanding challenge.

  • Ensemble of Strategies and Perturbation Parameter Based SOMA for Constrained Technological Design Optimization Problem
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Roman Senkerik, Tomas Kadavy, Adam Viktorin, Michal Pluhacek
    Abstract:

    In this paper, we are introducing a novel ensemble based adaptive strategy for the Self Organizing Migrating Algorithm (SOMA), namely the "Ensemble of Strategies and Perturbation Parameter in SOMA" (ESP-SOMA). The proposed algorithm as well as several other state of the art selected metaheuristic algorithms are utilized in the task of optimization of waste processing batch reactor geometry and control. Since there is a growing demand for intelligent and fast problem solution or optimal utilization of resources in modern industrial field, especially in the Industry 4.0 era, this paper represents an insight into the applicability and effectivity of modern adaptive state of the art metaheuristic optimization algorithms in the task of highly constrained industrial design optimization problem. The simple statistical comparison of the results given by three different metaheuristic algorithms is also reported here.

  • CEC - Ensemble of Strategies and Perturbation Parameter Based SOMA for Constrained Technological Design Optimization Problem
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Roman Senkerik, Tomas Kadavy, Adam Viktorin, Michal Pluhacek
    Abstract:

    In this paper, we are introducing a novel ensemble based adaptive strategy for the Self Organizing Migrating Algorithm (SOMA), namely the "Ensemble of Strategies and Perturbation Parameter in SOMA" (ESP-SOMA). The proposed algorithm as well as several other state of the art selected metaheuristic algorithms are utilized in the task of optimization of waste processing batch reactor geometry and control. Since there is a growing demand for intelligent and fast problem solution or optimal utilization of resources in modern industrial field, especially in the Industry 4.0 era, this paper represents an insight into the applicability and effectivity of modern adaptive state of the art metaheuristic optimization algorithms in the task of highly constrained industrial design optimization problem. The simple statistical comparison of the results given by three different metaheuristic algorithms is also reported here.

  • CEC - The Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm Solving CEC 2019 100-Digit Challenge
    2019 IEEE Congress on Evolutionary Computation (CEC), 2019
    Co-Authors: Tomas Kadavy, Michal Pluhacek, Roman Senkerik, Adam Viktorin
    Abstract:

    This paper presents the result of the "Ensemble of Strategies and Perturbation Parameter in Self-organizing Migrating Algorithm" (ESP-SOMA) on CEC 2019 100-Digit Challenge. This algorithm reached score around 52 out of maximum 100 with only a few Parameters to set. ESP-SOMA has manifested notable potential in this demanding challenge.

Christophe Prieur - One of the best experts on this subject based on the ideXlab platform.

  • Singular Perturbation Approach for Linear Coupled ODE-PDE Systems
    Delays and Interconnections: Methodology Algorithms and Applications, 2019
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper focuses on a class of linear coupled ODE-PDE systems whose dynamics evolve in two time scales. The fast time scale modeled by a small positive Perturbation Parameter is introduced to the dynamics either of the ODE or of the PDE. By setting the Perturbation Parameter to zero, two subsystems, namely the reduced and the boundary-layer subsystems, are formally computed. Firstly, we propose a sufficient stability condition for the full coupled system. This stability condition implies the stability of both subsystems. Then, we state an approximation of the full coupled ODE-PDE systems by the subsystems based on the singular Perturbation method. The error between the solution of the full system and that of the subsystems is the order of the Perturbation Parameter. Finally, numerical simulations on academic examples illustrate the theoretical results.

  • Singular Perturbation approximation by means of a H 2 Lyapunov function for linear hyperbolic systems
    Systems & Control Letters, 2016
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    Abstract A linear hyperbolic system of two conservation laws with two time scales is considered in this paper. The fast time scale is modeled by a small Perturbation Parameter. By formally setting the Perturbation Parameter to zero, the full system is decomposed into two subsystems, the reduced subsystem (representing the slow dynamics) and the boundary-layer subsystem (standing for the fast dynamics). The solution of the full system can be approximated by the solution of the reduced subsystem. This result is obtained by using a H 2 Lyapunov function. The estimate of the errors is the order of the Perturbation Parameter for all initial conditions belonging to H 2 and satisfying suitable compatibility conditions. Moreover, for a particular subset of initial conditions, more precise estimates are obtained. The main result is illustrated by means of numerical simulations.

  • Singular Perturbation Approximation of Linear Hyperbolic Systems of Balance Laws
    IEEE Transactions on Automatic Control, 2016
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This technical note deals with a class of linear hyperbolic systems of balance laws with multiple time scales. The scale of time constants is modeled by a Perturbation Parameter. This Parameter is introduced in both dynamics and boundary conditions. The solution of the full system is approximated by that of the reduced subsystem when the Perturbation Parameter is small enough. Lyapunov technique is used to prove it. The main result is illustrated by an academic example. Moreover, the boundary control synthesis to a gas flow transport model is shown based on singular Perturbation approach.

  • CDC - Stability analysis of a singularly perturbed coupled ODE-PDE system
    2015 54th IEEE Conference on Decision and Control (CDC), 2015
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a Perturbation Parameter. Firstly, the Perturbation Parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the Perturbation Parameter is introduced into the ODE system.

  • Stability analysis of a singularly perturbed coupled ODE-PDE system
    2015 54th IEEE Conference on Decision and Control (CDC), 2015
    Co-Authors: Ying Tang, Christophe Prieur, Antoine Girard
    Abstract:

    This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a Perturbation Parameter. Firstly, the Perturbation Parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the Perturbation Parameter is introduced into the ODE system.