APPLICATION OF INCOMPLETE GAMMA FUNCTIONS TO THE INITIALIZATION OF FRACTIONAL-ORDER SYSTEMS

机译：不完全伽马函数在分数阶系统初始化中的应用

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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 in the solution of initialization problems in fractional-order system theory is demonstrated.

机译：本文回顾了伽马函数的某些性质，特别是不完全伽马函数及其补语作为Laplace变量s的函数。说明了这些函数在分数阶系统理论中解决初始化问题的效用。

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来源
《ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007》|2007年|P.14311437|共2页
会议地点 Las VegasNV(US);Las VegasNV(US);Las VegasNV(US)
作者
Tom T. Hartley; Carl F. Lorenzo;
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作者单位

University of Akron Akron, Ohio 44325-3904;

NASA Glenn Research Center Cleveland, Ohio 44135;

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会议组织
原文格式 PDF
正文语种 eng
中图分类柔性制造系统及柔性制造单元;
关键词
gamma function; fractional-order system initialization;

机译：伽马函数;分数阶系统初始化;

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1. Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems [J] . Tom T. Hartley, Carl F. Lorenzo Journal of Computational and Nonlinear Dynamics . 2008,第2期

机译：不完全伽马函数在分数阶系统初始化中的应用
2. Crandall's computation of the incomplete Gamma function and the Hurwitz zeta function, with applications to Dirichlet L-series [J] . Bailey D. H., Borwein J. M. Applied mathematics and computation . 2015,第Null期

机译：Crandall对不完全Gamma函数和Hurwitz zeta函数的计算，并应用于Dirichlet L系列
3. Monotonicity of Ratios Involving Incomplete Gamma Functions with Actuarial Applications [J] . Edward Furman, Ricardas Zitikis Journal of inequalities in pure and applied mathematics . 2008,第3期

机译：涉及精算应用的不完全伽玛函数的比率的单调性
4. APPLICATION OF INCOMPLETE GAMMA FUNCTIONS TO THE INITIALIZATION OF FRACTIONAL-ORDER SYSTEMS [C] . Tom T. Hartley, Carl F. Lorenzo ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference . 2008

机译：不完全伽马函数在分数级系统初始化中的应用
5. Various Mathematical Properties of the Generalized Incomplete Gamma Functions with Applications. [D] . Al-Humaidi, Bader Ahmed. 2011

机译：广义不完全伽玛函数的各种数学性质及其应用。
6. Autonomous Microsystems for Downhole Applications: Design Challenges Current State and Initial Test Results [O] . Myungjoon Choi, Yu Sui, In Hee Lee, 2017

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7. Lyapunov functions for fractional-order systems in biology: Methods and applications [O] . Adnane Boukhouima, Khalid Hattaf, El Mehdi Lotfi, 2020

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APPLICATION OF INCOMPLETE GAMMA FUNCTIONS TO THE INITIALIZATION OF FRACTIONAL-ORDER SYSTEMS

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