1) fractional-order differential system
分数阶微分系统
1.
The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.
通过分析系统不动点的稳定性,得到分数阶微分系统存在混沌的解析条件。
2) fractional order system
分数阶系统
1.
Fractional order PID controller design for fractional order system;
分数阶系统的分数阶PID控制器设计
2.
Because the characteristic equation of fractional order system is a pseudo-polynomial function with exponential-type fractional orders of complex variable, the control of integer orders cannot be directly applied to it.
分数阶系统的特征方程是一个具有复变量的分数阶指数的伪多项式,因此不能直接应用整数阶系统的控制方法·提出了一种分数阶系统的H∞控制器设计方法·首先利用提出的滤波器近似化方法近似分数阶系统·然后通过选择适当加权函数,根据要求设计H∞控制器·仿真表明,在用该方法得到的控制器的控制下,系统的特性有显著改善,动态响应也是令人满意的·实验结果显示此方法是有效的
3.
The basic theory of fractional order system includes the defining and sense of fractional calculus, the method and implementation of fractional Fourier transform and fractional Laplace transform, and the description method and imitation implemented method of fractional order equation an.
分数阶系统的基础理论包括分数微积分的定义形式、意义，分数阶傅里叶变换(以下简称FRFT)方法和实现，分数阶拉普拉斯变换方法和实现，基于上面两种变换的分数阶方程和系统描述方法，仿真实现方法等。
3) fractional-order systems
分数阶系统
1.
Fractional-order systems are represented by di?eren-tial equations with non-integer order.
分数阶系统是由微分阶次为非整数的微分方程描述的系统,比起整数阶模型,分数阶系统更能准确地描述现实世界中的物理系统。
4) fractional-order system
分数阶系统
1.
Chaos and chaotic control in a new fractional-order system;
分数阶系统的混沌特性及其控制
2.
Improved recursive algorithm for fractional-order system solution based on PSE and Tustin transform
改进的基于PSE和Tustin变换的分数阶系统求解递推算法
3.
In terms of the controllability and observability analysis on integer-order linear systems, the definitions of controllability and observability for fractional-order systems are presented.
首先给出了由分数阶微分方程描述的系统的数学模型,根据对整数阶系统能控性和能观性的研究,给出了此类分数阶系统的能控性和能观性的定义,并利用两参数的Mittage-Leffler函数和Cayley-Hamilton定理分析此类分数阶系统的能控性和能观性,推导由分数阶微分方程描述的系统能控性和能观性判据。
5) fractional order systems
分数阶系统
1.
Identification algorithm for fractional order systems based on state space decomposition;
基于状态空间模型分解的分数阶系统辨识算法
2.
Frequency domain identification algorithm for fractional order systems;
分数阶系统的一种频域辨识算法
3.
The state-space representation of linear time-invariant (LTI) fractional order systems is introduced, and a proof of their stability theory is also given.
然后给出了线性定常分数阶系统的一个有效辨识算法 。
6) second order differential system
二阶微分系统
1.
We give sufficient conditions for the existence of at least one solution of the second order differential system-x″(t)=f(t,x) with boundary value conditions x(0)=0,x′(1)=0 and x(0)=A,x(1)=B by the method of the lower and upper solutions.
通过推广上下解的概念,利用上下解方法讨论了二阶微分系统-x″(t)=f(t,x)分别在边值条件x(0)=0,x′(1)=0和x(0)=A,x(1)=B下解的存在性。
补充资料：分数阶积分与微分
分数阶积分与微分
og fractional integration and differentia-
分数阶积分的逆运算称为分数阶微分:若几介F，则f为F的:阶分数阶导数(na ctional deriVative).若0<戊
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条