网络分数阶微分 网络释义 1. 分数阶微分 ...演算(fractional calculus)包括分数阶微分(fractional order derivative)运算和分数阶积分(frac-tional order integration)运算,... www.showxiu.com|基于 1 个网页
The concept of fractional order derivative can be found in widerange of many different areas. Due to this case, there are many methods aboutfractional order derivative (FOD). The most of them are Euler, RiemannLiouville, Grunwald-Letnikov, Oldham-Spanier, Miller-Ross, Kolwankar-Gangal,and Capu...
where Dtα is the fractional derivative in Caputo sense of order α∈(0,1], the state variable is a positive vector of m elements u1,…,um, and f:Rm⟶Rm is a function of class C1. Definition 6.1 (29) Let u∗ be an equilibrium point of system (6.1) such that Θ(u∗) a...
A fractional order derivative based active contour model for inhomogeneous image segmentation - ScienceDirect 来自 掌桥科研 喜欢 0 阅读量: 154 作者:BAB Chen,SA Huang,ZC Liang,WAB Chen,BAB Pan 摘要: Segmenting intensity inhomogeneous images is a challenging task for both local and global methods. ...
Fractional-order derivative and its discretization Fractional calculus is a generalization of integration and differentiation to a fractional, or non-integer, order fundamental operator aDtr, where a and t are the limits and r, (r∈R) the order of the operation. Two commonly used definitions for...
(2010). A fractional order proportional and derivative (FOPD) controller: tuning rule and experiments. IEEE Transactions on Control Systems... MJ Grimble,MA Johnson,CA Monje,... - Springer London 被引量: 28发表: 2010年 Fractional-order PI λD controller design Summary: This paper introduces ...
A rubber bushing model based on parallel connection of an elastic unit, a friction unit and a higher-order fractional derivative viscoelastic unit is established. Based on the dynamic neighbor and generalized learning particle swarm optimization algorithm, a higher-order fractional derivative viscoelastic...
(3) The Fundamental boundedness lemma in [36] is extended to the case of Caputo׳s definition of fractional order derivative. And it is applied to analyze the asymptotic stability of the estimation error dynamic system. (4) Fractional order sliding mode observer for constant-parameter FO ...
In this paper, we introduce fractional derivative into level set model for image segmentation. Specifically, the integral-order gradient operator of level set function in the energy formulation is generalized to fractional-order, which is owing to the nonlinear protecting capability of fractional-order...
In this work, we investigate a linear differential equation involving Caputo-Fabrizio fractional derivative of order 1 < β≤ 2. Under some assumptions the considered equation is reduced to an integer order differential equation and solutions for different cases are obtained in explicit forms. We als...