The Experts below are selected from a list of 5388 Experts worldwide ranked by ideXlab platform
Wilfrid Perruquetti - One of the best experts on this subject based on the ideXlab platform.
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Realization and Discretization of Asymptotically Stable Homogeneous Systems
IEEE Transactions on Automatic Control, 2017Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with nonzero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero. Properties of absolute and relative errors of the respective discretizations are investigated.
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CDC - Discretization of asymptotically stable homogeneous systems by Explicit and implicit Euler Methods
2016 IEEE 55th Conference on Decision and Control (CDC), 2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
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Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods
2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
Ioan Sturzu - One of the best experts on this subject based on the ideXlab platform.
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Explicit Euler Method for solving time dependent Schr\H{o}dinger equation
Physical Review A, 2001Co-Authors: Ioan SturzuAbstract:Using an Explicit Euler substitution it was obtained a system of differential equations, which can be used to find the solution of time-dependent 1-dimentional Schr\H{o}dinger equation for a general form of the time-dependent potential.
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Explicit Euler Method for solving time dependent schr h o dinger equation
Physical Review A, 2001Co-Authors: Ioan SturzuAbstract:Using an Explicit Euler substitution it was obtained a system of differential equations, which can be used to find the solution of time-dependent 1-dimentional Schr\H{o}dinger equation for a general form of the time-dependent potential.
Denis Efimov - One of the best experts on this subject based on the ideXlab platform.
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Realization and Discretization of Asymptotically Stable Homogeneous Systems
IEEE Transactions on Automatic Control, 2017Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with nonzero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero. Properties of absolute and relative errors of the respective discretizations are investigated.
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CDC - Discretization of asymptotically stable homogeneous systems by Explicit and implicit Euler Methods
2016 IEEE 55th Conference on Decision and Control (CDC), 2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
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Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods
2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
Andrey Polyakov - One of the best experts on this subject based on the ideXlab platform.
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Realization and Discretization of Asymptotically Stable Homogeneous Systems
IEEE Transactions on Automatic Control, 2017Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with nonzero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero. Properties of absolute and relative errors of the respective discretizations are investigated.
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CDC - Discretization of asymptotically stable homogeneous systems by Explicit and implicit Euler Methods
2016 IEEE 55th Conference on Decision and Control (CDC), 2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
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Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods
2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
Arie Levant - One of the best experts on this subject based on the ideXlab platform.
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Realization and Discretization of Asymptotically Stable Homogeneous Systems
IEEE Transactions on Automatic Control, 2017Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with nonzero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero. Properties of absolute and relative errors of the respective discretizations are investigated.
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CDC - Discretization of asymptotically stable homogeneous systems by Explicit and implicit Euler Methods
2016 IEEE 55th Conference on Decision and Control (CDC), 2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
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Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods
2016Co-Authors: Denis Efimov, Andrey Polyakov, Arie Levant, Wilfrid PerruquettiAbstract:Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the Explicit and implicit Euler integration schemes. It is shown that the Explicit Euler Method has certain drawbacks for the global approximation of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence of the approximating solutions to zero.
