fractional order

Based on the Laplace transform theory, generalized projective synchronization between fractional order Wu-Wang chaotic system and fractional order Liu chaotic system is achieved.

基于Laplace变换理论，实现了分数阶Wu-Wang混沌系统与Liu混沌系统的广义投影同步以及分数阶Wu-Wang混沌系统自身的广义投影同步。

These fractional order models need the corresponding fractional order controllers to be proposed.

对于分数阶模型需要提出相应的分数阶控制器来提高控制效果.

The state-space representation and the transfer function representation of fractional order linear time-invariant systems are introduced.

摘要介绍了分数阶线性定常系统的状态方程描述和传递函数描述.

The applications of fractional-order Liu chaotic system in secure communication system are studied.

研究了分数阶Liu混沌系统在保密通信系统中的应用.

Studies on Thermokinetics ⅹⅴ. Thermokinetics Method for Fractional Order Reactions

热动力学的研究XV.分数级反应的热动力学法

Fractional order calculus is an old field in mathematic study fields and an expansion of traditional integral calculus theory.

分数阶微积分理论建立至今已经有300多年的历史，是数学研究领域中一个古老的领域，是传统整数阶微积分理论的扩展。

A lower bound of I function of large deviation for Markov chains was presented and applied to obtain the conclusion that the rate of convergence in propability for Annealing algorithm has a order of fractional power of number of states.

首先得出马尔可夫链大偏差Ⅰ函数的下界，并利用它得出Annealing算法依概率收敛速度具有状态总数的分数幂阶。

In this paper, we develop a non local method with temporal and spatial correlations to introduce a fractional order advection diffusion equation based on the usually used local 2_nd order advection dispersion equation.

考虑了扩散过程的时间相关和时空相关性，用非局域性的处理方法，在传统的二阶对流扩散方程基础上，得到了分数阶对流扩散方程，以此方程来描述反常扩散。

Then, a simply effective feedback control method is introduced to control the fractional order logistic delay system, simulation results demonstrate that by tunning the feedback gain K, chaotic motion can be effectively controlled to a limit circle or an equilibrium point.

接着，在分数阶时滞系统中加入简单的反馈控制，仿真结果表明通过调节反馈增益K的大小，能够有效的将混沌运动控制为极限环或稳定点。

Studies on Thermokinetics of the Fractional Order Reactions& The Kinetics of the Polymerization of Acrylamide

分数级反应热动力学研究&丙烯酰胺聚合反应动力学

Fractional Order Integral Compensator of Slide Mode Control for Time Delay System with Uncertain Parameters

具有不确定参数时滞控制系统的滑动模分数阶补偿器方法

In this paper, a fractional-N frequency synthesizer based on high-order single-bit Σ� � modulator is introduced.

本文介绍了高阶 单比特 Σ△调制器在小数分频频率综合器中的应用.

Fractional Order PID Controller and Its Digital Implementation

分数阶PID控制器及其数字实现

Active sliding mode controller is designed to realize the synchronization of fractional order chaotic systems with different dimensions. 2.

设计的滑模控制器，完成不同维分数阶混动系统的同步。最后，给出两个实例仿真，证明所提方法的有效性。

The commensurate fractional order systems can be converted to the integer order systems through approximation method.

通过对成比例分数阶系统的基本阶次项进行近似化研究,减少了系统的复杂性.

Firstly, the change of simulation step and differential order were produce the effect for control system by numerical solution of fractional order differential equation.

通过对分数阶控制系统微分方程的数值求解，分析了控制系统的仿真步长及微分阶次的变化对控制系统性能产生的影响。

At the same time, it overcomes the shift of the edge using fractional order differentiation directly.

同时, 它还克服了直接用分数阶微分检测边缘时,有边缘漂移的问题.

The fractional order can be complex . Proper extension is given.

同时,给出了可能的拓展.

H_ ∞ Controller Design for Fractional Order System

分数阶系统H∞控制器设计