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- Defines the factional order calculus and clarifies its basic characteristics because the fractional order systems have been used much wider than before in application. 摘要针对在实际情况中应用越来越广泛的分数阶微积分系统，首先介绍了分数阶微积分定义及其基本性质。
- The very basic concepts regarding fractional order calculus were addressed and a numerical method for solution of the fractional order differential equations were determined. 分数阶微积分理论、分数阶微分方程理论以及数值解法是分数阶控制理论的基础性内容,为分数阶控制理论以及实际的应用提供了重要的理论基础。
- fractional order calculus 分数阶微积分
- A method is thus proposed to analyze fractional order linear systems on the basis of the definition of fractional calculus, and its effectiveness is verified via a simulation example. 最后提出了一种基于分数阶微积分定义分析分数阶线性系统的方法，并用具体实例验证了该方法的有效性。
- 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。
- Internal and external stability conditions for fractional order linear time-invariant systems are given using Laplace transform and residue theorem. 运用拉普拉斯变换和留数定理，给出并证明了分数阶线性定常系统的内部和外部稳定性条件，并讨论了其相互关系。
- The stability condition and the beam waist position for a resonator a re described by the fractional order. 其稳定条件和束腰位置可用分数阶次描述，分数阶次可为复数。
- In order to improve the accuracy of fractional order differentiator, a hybrid genetic algorithm was applied to design fractional order differentiator. 摘要为了进一步提高分数阶微分器的精度，将遗传算法引入到滤波设计中，获得了性能更加优越的分数阶微分器。
- The thermokinetics of the reaction between silver perchlorate and methylidide has ben studiedby the methods of dimensionless paramenter of fractional order reactions. 本文以量热法研究了高氯酸银与碘甲烷反应的热动力学，直接验证了分数级反应无量纲参数法原理的正确性。
- The synchronizations of two uncoupled integral and fractional order chaotic modified heartbeat systems are accomplished by parameter excited synchronization. 另外经由参数激发法使得两个非耦合的整数阶或分数阶变革式心搏系统达到同步。
- The state-space representation of linear time-invariant (LTI) fractional order systems is introduced, and a proof of their stability theory is also given. 摘要介绍了分数阶线性定常系统的状态方程描述，并给出了其稳定性定理的一个证明。
- FRT with different fractional order along the different direction can be realized using this HOE.The condition to realising FRT using this HOE is discussed. 用此元件实现了在不同方向上具有不同阶的变形分数傅里叶变换，讨论了用全息元件实现这种变换的条件。
- Based on the theory of fractional Fourier transform (FRT) and one of its very important parameter, fractional order, the relationship between FRT and Fresnel diffraction are deduced and analyzed. 摘要基于分数傅里叶变换理论并以分数阶这一重要参量为纽带，推导和分析了分数傅里叶变换与菲涅耳衍射之间的关系；
- By using derived expressions,the influence of fractional order on transform properties of this kind of beam at the FRFT plane are investigated and illustrated with numerical calculations. 由此表达式;研究在分数傅里叶变换面上分数阶数对此种光束变换属性的影响并且给出数值计算例.;所得表达式提供了一种研究二维余弦高斯光束的分数傅里叶变换的方便工具
- In order not to be late, she cut across the fields. 为了不迟到，她抄近路穿过田野。
- We started early in order to arrive before dark. 为了在天黑前到达，我们很早就动身了。
- A Solution to Fractional Order Linear Syetems 一种分数阶线性系统求解方法
- Fourier Transform of Fractional Order 分数阶傅里叶变换
- Speech is fractional; silence is integral. 讲话是分数; 沉默是整数。
- Can you cash this postal order for me now? 你现在能帮我兑现这张邮政汇票吗？
