给出了分数阶系统的稳定性条件、可控性和可观性判断依据；
The stability, controllability and observability of fractional order system are investigated.
介绍了分数阶系统稳定性定义及其判据，在此基础上，研究了相同条件下不同阶系统的稳定性，给出了系统稳定的阶次范围。
Based on that, the stability for different order systems under the same conditions is studied, and the order scale of the systems stability is given.
基于分数阶线性系统的稳定性理论，分析了该方法的稳定性。
Based on the stability theory of fractional-order linear system, stability of the proposed method is analysed.
该方法为一类分数阶混沌系统的同步控制、以及混沌在保密通信等领域的应用研究提供了新思路。
So the technique provides a new thought for synchronizing a class fraction order chaotic systems and also has higher security in secure communication.
最后介绍了一种分数阶线性定常系统的稳定性判据。
Finally a stability criterion is introduced for linear non time-varying fractional-order systems.
摘 要：由于分数阶微分系统具有记忆功能，在其求解过程中计算量较大。
Absrtact: The calculation work of solving a fractional order differential system is huge since it relating to history.
论文采用分数阶保持器(FROH)代替传统的零阶保持器(ZOH)，对减摇鳍系统进行数字控制设计。
This paper USES fractional order hold (FROH) to replace the traditional zero-order hold (ZOH), designs a numerical control system for the fin.
本文基于非线性系统控制理论，研究了整数阶混沌系统和分数阶混沌系统的同步控制方法及其应用。
Based on control theories of nonlinear systems, this dissertation studies the synchronization control methods and applications of integral-order and fractional-order chaotic 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。
The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.
定量的给出了球面波照射下实现任意阶非精确分数傅里叶变换时系统参数的选择定则。
A determining law for selecting the parameters of obtaining arbitrary order of the non-exact transform is also deducted quantitatively.
鉴于整数阶控制系统主要进行正频域分析，本文论述了分数阶控制系统的扩展频域方法。
Considering the integer-order systems analysis is happened only in positive frequency domain, this paper is concerned about the extended frequency analysis method for fractional-order control systems.
在缩减双四元数代数系统上定义了分数阶四元数傅立叶变换。
In this paper, we define the fractional quaternion Fourier transform based on reduced biquaternion algebra.
本文研究了整数阶混沌系统和分数阶混沌系统的同步控制以及它们在保密通信中的应用。
This dissertation has researched on the synchronization control of chaotic system and the fractional-order chaotic system and its application in secure communication.
另外，分数阶混沌系统是一类新型的混沌系统，其阶数可调使得它在复杂度上更优于整数阶混沌系统，同时，实际系统也通常以微分形式存在，因此分数阶混沌系统也很适用于保密通信。
And the fractional -order chaotic system is very useful for security communication because it is a new chaotic system for its order is adjustable and the actual system usually is differential form.
另外，分数阶混沌系统是一类新型的混沌系统，其阶数可调使得它在复杂度上更优于整数阶混沌系统，同时，实际系统也通常以微分形式存在，因此分数阶混沌系统也很适用于保密通信。
And the fractional -order chaotic system is very useful for security communication because it is a new chaotic system for its order is adjustable and the actual system usually is differential form.
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