The Experts below are selected from a list of 39 Experts worldwide ranked by ideXlab platform
Yong Wang - One of the best experts on this subject based on the ideXlab platform.
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Fitting of the Initialization Function of fractional order systems
Nonlinear Dynamics, 2018Co-Authors: Yanting Zhao, Yiheng Wei, Jianmei Shuai, Yong WangAbstract:The initial value problem of fractional order systems is studied further in this paper. Firstly, a new concept is put forward and named as aberration phenomenon, which reflects the complexity and the importance of the initial value problem. Then, the knowledge of the long memory property is reviewed for the purpose of revealing the nature of this phenomenon. As a result, it is involved with the so-called pre-initial process which describes the dynamic characteristic of fractional order systems before the initial state. Afterward, the definition of nonlinear time-varying Initialization Function is studied and the method of segmented linearization is proposed to fit the Initialization Function; meanwhile, other ideas on Function fitting are provided as the follow-up study. Finally, several simulation examples are shown to illustrate the effectiveness of the proposed method.
Yanting Zhao - One of the best experts on this subject based on the ideXlab platform.
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Fitting of the Initialization Function of fractional order systems
Nonlinear Dynamics, 2018Co-Authors: Yanting Zhao, Yiheng Wei, Jianmei Shuai, Yong WangAbstract:The initial value problem of fractional order systems is studied further in this paper. Firstly, a new concept is put forward and named as aberration phenomenon, which reflects the complexity and the importance of the initial value problem. Then, the knowledge of the long memory property is reviewed for the purpose of revealing the nature of this phenomenon. As a result, it is involved with the so-called pre-initial process which describes the dynamic characteristic of fractional order systems before the initial state. Afterward, the definition of nonlinear time-varying Initialization Function is studied and the method of segmented linearization is proposed to fit the Initialization Function; meanwhile, other ideas on Function fitting are provided as the follow-up study. Finally, several simulation examples are shown to illustrate the effectiveness of the proposed method.
Jianmei Shuai - One of the best experts on this subject based on the ideXlab platform.
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Fitting of the Initialization Function of fractional order systems
Nonlinear Dynamics, 2018Co-Authors: Yanting Zhao, Yiheng Wei, Jianmei Shuai, Yong WangAbstract:The initial value problem of fractional order systems is studied further in this paper. Firstly, a new concept is put forward and named as aberration phenomenon, which reflects the complexity and the importance of the initial value problem. Then, the knowledge of the long memory property is reviewed for the purpose of revealing the nature of this phenomenon. As a result, it is involved with the so-called pre-initial process which describes the dynamic characteristic of fractional order systems before the initial state. Afterward, the definition of nonlinear time-varying Initialization Function is studied and the method of segmented linearization is proposed to fit the Initialization Function; meanwhile, other ideas on Function fitting are provided as the follow-up study. Finally, several simulation examples are shown to illustrate the effectiveness of the proposed method.
Yiheng Wei - One of the best experts on this subject based on the ideXlab platform.
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Fitting of the Initialization Function of fractional order systems
Nonlinear Dynamics, 2018Co-Authors: Yanting Zhao, Yiheng Wei, Jianmei Shuai, Yong WangAbstract:The initial value problem of fractional order systems is studied further in this paper. Firstly, a new concept is put forward and named as aberration phenomenon, which reflects the complexity and the importance of the initial value problem. Then, the knowledge of the long memory property is reviewed for the purpose of revealing the nature of this phenomenon. As a result, it is involved with the so-called pre-initial process which describes the dynamic characteristic of fractional order systems before the initial state. Afterward, the definition of nonlinear time-varying Initialization Function is studied and the method of segmented linearization is proposed to fit the Initialization Function; meanwhile, other ideas on Function fitting are provided as the follow-up study. Finally, several simulation examples are shown to illustrate the effectiveness of the proposed method.
Tom T. Hartley - One of the best experts on this subject based on the ideXlab platform.
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Time-Varying Initialization and Corrected Laplace Transform of the Caputo Derivative
IFAC Proceedings Volumes, 2013Co-Authors: Carl F. Lorenzo, Tom T. Hartley, Jay L. AdamsAbstract:Abstract This paper derives the time-varying Initialization Function for the Caputo derivative of any order u >0 where m –1 u m , m = 1,2,…. The derivative is redefined to include this Initialization Function. Then, the Laplace transform for the redefined Caputo derivative is determined which corrects (supplants) that given for the derivative in the literature and properly accounts for time-varying Initialization effects. The paper generalizes previous results for order 0 u
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Time-Varying Initialization and Laplace Transform of the Caputo Derivative: With Order Between Zero and One
Volume 3: 2011 ASME IEEE International Conference on Mechatronic and Embedded Systems and Applications Parts A and B, 2011Co-Authors: Carl F. Lorenzo, Tom T. HartleyAbstract:This paper derives the time-varying Initialization Function for the Caputo derivative with order between zero and one. The derivative is redefined to include this Initialization Function. Then, the Laplace transform for the redefined Caputo derivative is determined which corrects (supplants) that given for the derivative in the literature and properly accounts for time-varying Initialization effects.Copyright © 2011 by ASME