54 resultados para Lyapunov Exponents


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结合密钥扩展算法和划分子集的方法,提出7轮AES-192的不可能差分分析方法.首先估算猜测初始轮的错误密钥的最小概率;然后计算所需的明密文对的数量并选择明密文对,计算密文对的差分,猜测特殊的密钥字节对其进行不可能差分攻击.该攻击需要278选择明文,记忆存储空间为2129分组,以及约2155的7轮AES-192加密.与目前现有的结果相比,该攻击需要更少的选择明文数和较低的时间复杂度.

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利用SHACAL-2的一个17轮差分非线性区分器,结合被猜测子密钥空间分割的方法和快速傅立叶变换,提出了一种攻击33轮SHACAL-2的新方法.该方法攻击33轮SHACAL-2需要244的选择明文、2496.6的33轮SHACAL-2加密和2502次算术运算,攻击成功概率为99%.与已有的结果相比较,新攻击有效地提高了单密钥下SHACAL-2的攻击轮数.

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轨道机动是航天器执行空间任务的基础,对轨道机动进行优化设计非常重要。 近年来,小推力发动机技术不断成熟,由于小推力发动机具有高比冲、低成本的优点,逐渐被用于轨道机动系统中。小推力轨道机动与常规轨道机动的不同在于小推力情况下,航天器变轨时间长,推力作用时间长,这使小推力轨道机动的优化设计极为困难。因此,小推力轨道机动优化成为航天器轨道机动优化领域的难点和热点,吸引了大批学者的关注和研究。本文对基于进化算法的小推力轨道转移时间-能量优化方法进行了研究。 由于进化算法属于一种参数优化方法,不能直接用于求解泛函形式表示的轨道转移优化问题。因此,本文引入并改进了一种基于Lyapunov反馈控制律的小推力转移轨道设计方法,使用该方法将小推力轨道转移最优控制问题转换成适合进化算法求解的多目标优化问题。 为了求解转换后的多目标优化问题,提出了一种 支配混合多目标进化算法。该算法使用基于 支配概念的选择算子,在保持群体多样性的同时,避免了许多多目标进化算法存在的退化现象。同时,为了改进算法局部搜索能力,将局部搜索方法与算法结合,构造出串行混合算法结构。 数值实验证明,本文提出的方法能够有效求解小推力轨道转移时间-能量优化问题。

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In order to understand the coarsening of microdomains in symmetric diblock copolymers at the late stage, a model for block copolymers is proposed. By incorporating the self consistent field theory with the free energy approach Lattice Boltzmann model, hydrodynamic interactions can be considered. Compared with models based on Ginzburg-Landau free energy, this model does not employ phenomenological free energies to describe systems. The model is verified by comparing the simulation results obtained using this method with those of a dynamical version of the self consistent mean field theory. After that,the growth exponents of the characteristic domain size for symmetric block copolymers at late stage are studied. It is found that the viscosity of the system affects the growth exponents greatly, although the growth exponents are all less than 1/3 Furthermore, the relations between the growth exponent, the interaction parameter and the chain length are studied.

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The influence of molecular topology on the structural and dynamic properties of polymer chain in solution with ring structure, three-arm branched structure, and linear structure are studied by molecular dynamics simulation. At the same degree of polymerization (N), the ring-shaped chain possesses the smallest size and largest diffusion coefficient. With increasing N, the difference of the radii of gyration between the three types of polymer chains increases, whereas the difference of the diffusion coefficients among them decreases. However, the influence of the molecular topology on the static and the dynamic scaling exponents is small. The static scaling exponents decrease slightly, and the dynamic scaling exponents increase slightly, when the topology of the polymer chain is changed from linear to ring-shaped or three-arm branched architecture. The dynamics of these three types of polymer chain in solution is Zimm-like according to the dynamic scaling exponents and the dynamic structure factors.

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The crystalline modifications alpha and beta of polypropylene (PP) were studied by using polarized light microscopy (PLM), wide-angle X-ray diffraction (WAXD), and differential scanning calorimetry (DSC). Typically beta crystals surrounded by alpha spherulites were observed at low temperature. With increasing temperature the beta crystals melted and a new crystal appeared. More interestingly, the melting temperature of the new crystal was about 5degrees higher than that of alpha spherulites originally present in the sample formed isothermally. It was assumed that this new crystal was the recrystalline alpha crystal. This assumption was supported by the DSC results. Furthermore, the crystallization kinetics of the PP used was studied on the basis of the traditional Avrami analysis. As a result, the Avrami exponents of crystallization temperature from 120 to 130degreesC ranged between 4.21 and 3.60, indicating that the crystallization mechanism of PP order melt was spherulitic growth and random nucleation.

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The miscibility and the isothermal crystallization kinetics for PBT/Epoxy blends have been studied by using differential scanning calorimetry, and several kinetic analyses have been used to describe the crystallization process. The Avrami exponents n were obtained for PBT/Epoxy blends. An addition of small amount of epoxy resin (3%) leads to an increase in the number of effective nuclei, thus resulting in an increase in crystallization rate and a stronger trend of instantaneous three-dimensional growth. For isothermal crystallization, crystallization parameter analysis showed that epoxy particles could act as effective nucleating agents, accelerating the crystallization of PBT component in the PBT/Epoxy blends. The Lauritzen-Hoffman equation for DSC isothermal crystallization data revealed that PBT/Epoxy 97/3 had lower nucleation constant K, than 100/0, 93/7, and 90/10 PBT/Epoxy blends. Analysis of the crystallization data of PBT/Epoxy blends showed that crystallization occurs in regime II. The fold surface free energy, sigma(e) = 101.7-58.0 x 10(-3) J/m(2), and work of chain folding, q = 5.79-3.30 kcal/mol, were determined. The equilibrium melting point depressions of PBT/Epoxy blends were observed and the Flory-Huggins interaction parameters were obtained.

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Analysis of the isothermal and nonisothermal transitions of hexagonal crystal formation from the melt (transition 1) and of monoclinic crystal formation from hexagonal crystals (transition 2) for trans-1,4-polybutadiene (TPBD) was carefully carried out by differential scanning calorimetry (DSC) and transmission electron microscopy (TEM). Isothermal transitions I and 2 are described by Avrami exponents (n) of approximate to1, whereas nonisothermal transitions I and 2 are described by n approximate to 4. These different eta values indicate that different crystallization mechanisms took place for different crystallization driving forces under isothermal and nonisothermal crystallization. The Ozawa equation was also used to analyze the nonisothermal crystallization data. For transition I at lower temperature, the Ozawa equation fits the data well; however, at higher temperature, there is an inflection that shifts to lower crystallinity with increasing temperature. Inflections are also observed with the Ozawa analysis for transition 2. Furthermore, the crystallinities at the turning points are almost in the same range as those determined by Avrami analysis for nonisothermal transitions I and 2, which suggests that the Ozawa analysis inflections are due to secondary crystallization. However, TEM revealed no morphology discrepancy between the TPBD hexagonal crystals formed from melt by isothermal and nonisothermal crystallization.

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Isothermal and nonisothermal crystallization behavior for PEKK(T) was studied using differential scanning calorimetry (DSC), transmission electron microscopy (TEM), and electron diffraction (ED). In the isothermal crystallization process, the Avrami parameters obtained were n = 2.33-2.69, which shows crystal growth of two-dimensional extensions consistent with our observations by TEM. The lamellar thickness increases with the crystallization temperature of PEKK(T) crystallized isothermally from the melt. However, for the nonisothermal crystallization of PEKK(T), the results from the modified Avrami analysis show two different crystallization processes. Avrami exponents n(1) = 3.61-5.30, obtained from the primary crystallization process, are much bigger than are the secondary n(2) = 2.26-3.04 and confirmed by the observation of the spherulite morphology. PEKK(T) crystallized isothermally from the melt possesses the same crystal structure (Form I) as that from nonisothermal melt crystallization. The results from TEM observation show that the spherulite radius decreases with an increasing cooling rate. (C) 2001 John Wiley & Sons, Inc.

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Two soluble high-performance polyimides, poly(BCPOBDA/DMMDA) and poly(ODPA/DMMDA), in CHCl3 at 25 degrees C have been studied using laser light scattering. We found that the z-average radius of gyration ([R(g)]) can be scaled to the weight-average molecular weight (M(w)) as [R(g)] (nm) = 4.95 x 10(-2)M(w)(0.52) and [R(g)] (nm) = 1.25 x 10(-2)M(w)(0.66) respectively for poly(BCPOBDA/DMMDA) and poly(ODPA/DMMDA), indicating that poly(ODPA/DMMDA) in CHCl3 at 25 degrees C has a more extended chain conformation than poly(BCPOBDA/DMMDA). Using the wormlike chain model approach, we found that the Flory characteristic ratios (C*) of poly(BCPOBDA/DMMDA) and poly(ODPA/DMMDA) are similar to 20 and similar to 31, respectively, indicating that both of them have a slightly extended chain conformation in comparison with typical flexible polymer chains, such as polystyrene, whose C-infinity is similar to 10. A combination of the weight-average molar mass (M(w)) with the translational diffusion coefficient distributions (G(D)) has led to D (cm(2)/s) = 3.53 x 10(-4)M(-0.579) and D (cm(2)/s) = 4.30 x 10(-4)M(-0.613) respectively for two soluble high-performance polyimides, poly(BCPOBDA/DMMDA) and poly(ODPA/DMMTA), in CHCl3 at 25 degrees C. Using these two calibrations, we have successfully characterized the molar mass distributions of the two polyimides from their corresponding G(D)s. The exponents of these two calibrations further confirm that both of the polyimides have a slightly extended coil chain conformation in CHCl3. The chain flexibility difference between these two polyimides has also been discussed.

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针对具有有界时延和数据包丢失的网络控制系统,提出了一种新的稳定性判据.基于Lyapunov方法和图论理论,给出非线性离散和连续网络控制系统渐近稳定的充分条件,获得保持这两类系统稳定的最大允许时延界,得到控制器设计方法.并且,利用区间矩阵的谱特征,给出网络控制系统区间稳定的充分条件.设计算法,获得比例积分反馈控制器增益.算例表明所提方法的有效性。

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给出了系统的研究模型,指出系统控制和设计必须考虑的3个关键问题:稳定性、透明性和时延处理.阐述了4个主要的稳定性分析方法:Lyapunov稳定性、输入输出稳定性、无源稳定性和基于事件的稳定性,总结了这些方法的优势和局限性.接着,给出了几种主要的控制策略,指出了现有控制方法的优缺点.最后,提出了进一步的主要研究方向.

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在Freeman的逐点最小范数控制器的基础上,提出了一种新的非线性控制器设计框架-广义逐点最小范数控制器,并证明了其连续性.通过一个引导函数,新的控制器可以和其他的控制器设计策略结合,从而大大提高了控制器设计的灵活性.另外,给出了新方法的两个应用:改善局部线性化控制器稳定域较小的缺陷;及和其它控制器设计方法结合,使之能够简单有效地处理具有输入约束的系统.

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多机器人编队控制是多移动机器人自主协调控制领域中的关键技术。这篇论文在基于局部测量和局部控制的框架下,研究具有主—从跟踪结构的移动机器人编队系统的建模和控制问题。论文的主要研究内容可分为如下三个方面:针对一阶运动学和二阶运动学模型的编队控制器设计;将基于运动学的编队控制器与基于从机器人动力学的载体控制器相结合;将队形反馈信息融入主机器人的轨迹跟踪控制器,给出了主机器人的协调编队控制器的设计。具体内容可概括为如下几个方面:(1)以主—从机器人编队中从机器人的固联视觉传感器的观察角度出发,用视觉等效相对速度建立了主—从机器人编队系统的运动学模型。同时,在该模型中考虑了由视觉传感器时间延迟所导致的模型误差对编队系统的影响。在基于该运动学模型的编队控制器的设计过程中结合了基于从机器人载体的动力学的速度控制器。这种基于编队运动学和机器人本体动力学相结合的控制方法,避免了以往文献中速度跟踪响应无限快的假设。使得对编队控制系统的分析和设计更趋于实际。用Lyapunov稳定性理论证明了主—从机器人之间的编队跟踪误差和从机器人载体的速度跟踪误差都可以收敛到零--整体系统的渐进稳定性。(2)结合上述编队控制律,提出了一种编队系统中从机器人主动避障的方法,该方法能够令从机器人在避开动态障碍物的同时,与主机器人保持期望的相对距离或相对方位。这种方法的实质是由主机器人来引导从机器人的避障过程,主—从机器人之间通过相互协作来完成避障任务。这就使得从机器人即使在避障的过程中也能够与主机器人保持部分的协作。这样,当避障过程结束之后,主—从机器人之间可以迅速的恢复队形。(3)导出了一种新的基于相对运动学的主—从跟踪系统的二阶运动学模型。利用这个运动学模型,我们设计了一个由反馈线性化控制器和一个滑模控制器组成的复合控制器,来实现机器人主—从跟踪系统的控制。运用Lyapunov理论证明了所设计的队形控制器能够镇定包括内部动力学系统在内的整个主—从跟踪系统。同时,该控制器使得队形跟踪系统对主机器人的绝对加速度具有鲁棒性。此外,在前述控制器的基础上,我们设计了一个自适应队形控制器来处理主—从跟踪系统中存在的参数不确定性。(4)将上述基于二阶运动学的编队控制方法与从机器人的载体动力学控制系统相结合,给出了将编队运动学与载体动力学相结合的编队控制器设计方法。同时,针对载体动力学模型中含有参数不确定性的情况,设计了基于自适应控制方法的编队控制器。同时,利用Lyapunov理论给出了保证整体系统稳定性的条件。(5)基于主—从编队系统的二阶运动学模型,将队形反馈信息引入主机器人的轨迹跟踪控制器中,形成了主—从机器人协调编队的辅助控制律。该辅助控制律所对应的虚拟协调力通过主机器人的动力学系统形成了真实的协作控制力。该控制器与前一章中的从机器人的鲁棒编队跟踪控制器共同形成了主—从编队系统的协调控制器。应用Lyapunov理论给出了在主—从机器人分别采用协调编队控制器的作用下所形成的闭环系统的稳定性条件。进一步地,我们将主机器人的面向轨迹跟踪任务的协调控制器转换为面向路径跟踪任务的协调控制器。分别利用了基于MATLAB的仿真平台和实际的多移动机器人系统,验证了以上各方法的有效性。

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自从1986年G. Binnig 等发明原子力显微镜(AFM)以来,纳米科技研究得到了快速发展,纳米科技研究的最终目标是从纳米甚至分子与原子尺度上制造功能器件或系统,而实现此目标的手段之一是研制能够在纳米尺度上进行精确可控操作的装置、方法与技术。对此,学者们对基于 AFM 的纳米操作进行了大量研究。基于AFM-Tapping模式的纳米观测与操作具有成本低、易实现性等特点,因而近年来成为纳米技术研究的热点。但基于AFM探针的纳米观测和操作的基本理论仍然很不完善,许多情况下缺乏基于探针观测与操作的纳观作用力的合理解释与描述,因此限制了基于探针的纳米技术发展。为了解决这一问题,本论文在国家自然科学基金项目“基于机器人化的纳米操作方法研究(60575060)”的支持下,广泛收集和查阅国内外相关资料,重点开展了AFM-Tapping模式下探针动力学解释方法与建模研究,并进行了基于AFM-Tapping的纳米操作方法研究。主要研究工作如下: 1)针对探针动力学建模问题,开展了基于Hamilton原理和变分原理的有边界条件的探针一维悬臂梁建模方法研究。利用模态叠加法和模态函数正交性对探针各阶模态进行了解耦分析,得到了解耦的探针动力学方程。 2)开展了纳观尺度下探针-样品作用力研究。分析与阐述了毛细力、接触力和摩擦力等纳观尺度作用力;开展了基于Lennard-Jones势模型的不同形状探针与样品间的相互作用势描述方法研究;并根据势能-力之间的关系,研究了可描述半球形探针与样品间相互作用力的数学表达式。 3)开展了基于弹簧振子模型的纳观非线性力作用下探针振动问题分析研究。首次提出了基于探针弹性力与非线性纳观力平衡关系的探针振动状态区域划分方法。在探针振动能量平衡分析的基础上,研究了AFM-Tapping模式中的双稳态现象,进而得到了描述双稳态现象的解析表达式。最后采用Lyapunov指数分析的方法,证明了探针在非线性振动中确实存在着混沌现象。 4)研究了基于AFM-Tapping模式的纳米操作方法。通过研究探针振幅调节控制和预编程作业轨迹规划策略,提出了一种具有增强探针概念的纳米作业方法。该方法可以在参数设定和预编程条件下自动完成纳米尺度的平移和旋转操作,从而可以大大提高纳米操作的效率和精度。实验结果验证了该方法的有效性。本文的工作为纳米操作方法的研究提供了可以借鉴的理论与实验经验,有助于推动基于AFM的纳米操作与制造技术的发展。