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Finite-Time Controllability of Fractional-Order Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, the conditions that lead to a system output remaining at zero with zero input are considered. It is shown that the initialization of fractional-order integrators plays a key ...
Initialization of Fractional-Order Operators and Fractional Differential Equations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: It has been known that the initialization of fractional operators requires time-varying functions, a complicating factor. This paper simplifies the process of initialization of fractional differential ...
Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper reviews some properties of the gamma function, particularly the incomplete gamma function and its complement, as a function of the Laplace variable s. The utility of these functions ...
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