非线性

In this project, we have tackled the robust fault detection and diagnosis problem for affine nonlinear sampled-data systems based on nonlinear H∞ filtering theory,and focused on the design of robust fault dtetction filter. The main contribution of this project is that we (1)present design methods of robust fault estimator for nonlinear discrete-time systems based on least square estimation and linear matrix inequality;(2)improve the bounded real lemma of systems with finite discrete jumps;(3)develop the robust fault detection filters for affine nonlinear sampled-data systems with parameter uncertainties based on the improved bounded real lemma.

本项目以提高故障的正确检测率为目的，以非线性H∞滤波理论为基础，对不确定仿射非线性采样系统的鲁棒故障检测与诊断问题进行了研究，重点研究了不确定仿射非线性采样系统的鲁棒故障检测滤波器设计问题，取得了一些新的成果，主要成果有：(1)基于最小二乘估计和线性矩阵不等式，给出了非线性离散系统的鲁棒故障估计器设计方法；(2)改进了有限跳跃点系统的有界实引理；（3）基于改进的有界实引理，给出了不确定仿射非线性采样系统的鲁棒故障检测滤波器的设计方法。

The approximate structure of nonlinear action of climatic atmosphere and ocean is: the nonlinear action decreases usually with increasing latitude, which is related to the role of the Coriolis force in fluid motion; the nonlinear action changes with the anomalous cyclonic or anticyclonic circulation shear, for instance, when the strength of anomalous eastward zonal circulation is comparable to that of anomalous meridional circulation, the nonlinear action is the strongest; wind stress plus gradient forces enhance the nonlinear action, etc..

气候海洋与大气非线性作用的大致结构是：通常与科里奥利力对流体运动的规范作用有关，非线性作用随纬度增加而减弱。距平流场的切变结构及其沿经向与纬向上强度的比较直接改变气候大气和海洋的非线性作用(比如，向东的距平环流强度与经向环流强度相当时，非线性作用最强)，较强的外部驱动使非线性作用加大等等。

The nonlinear Winkler-Kelvin sub-grade model is adopted in this simplified model and the complicated 3-D problems of the soil-single piles dynamic interaction are simplified to the 1-D, that is to say, the lateral nonlinear acting force of the soil to the pile shift is simulated with thehorizontal nonlinear springs which have the continuous uniform distribution, while the nonlinear spring restoring force is described by the deteriorated Bouc-Wen model; the radiation damping and material damping due to the energy dissipation and inner friction in the soil are displayed with the dashpots which are in parallel with the horizontal nonlinear springs.

该模型采用非线性Winkler-Kelvin地基模型，将复杂的地基土-单桩动力相互作用的三维问题，简化为一维问题，即，地基土对桩轴的横向非线性作用力，由随深度均匀分布的水平非线性弹簧模拟，非线性弹簧恢复力由退化的Bouc-Wen模型描述；地基土中由于能量耗散和内部摩擦而产生的幅射阻尼和材料阻尼，由与水平非线性弹簧并联的粘壶表示。

E. , the fundamental cause of nonlinear coupled oscillation is the results of the interaction between the several nonlinear factors existing inside the motor, as well ws the mechanical drive, and the converter control system with discrete-sample and modulation.

本文依据理论分析、实验及现场测试研究，详细地分析了电力传动系统中存在的非线性耦合振荡现象，基本弄清了此类非线性耦合振荡的机理，即：电机内部非线性及机械拖动部分存在的多种非线性因素与具有离散采样和调制非线性特性的变流器控制系统之间的相互作用是造成系统非线性耦合振荡的根本原因。

Based on the research work of basic theories including phase space reconstruction,embedding theorem,correlation dimension,local dynamics,Lyapunov exponents,surrogate data etc,based on the research work of general methods such as principal component analysis,correlation dimension GP algorithm,false neighbors method,nonlinear time series prediction,local prediction, adaptive prediction,neural network model,support vector machines regression model, prediction power,nonlinear detection,coarse-graining methodology,conditional entropy and so on,the framework of nonlinear time series analysis are constructed.

在对包括相空间重构、嵌入定理、关联维数、局部动力学、Lyapunov指数、替代数据(来源：A97BC论文网www.abclunwen.com)、等基本理论与其物理意义的研究和讨论基础上；在对包括主分量分析、关联维数GP算法、伪邻近点法、非线性时间序列预测、局域预测、自适应预测、神经网络模型、支持向量回归模型、预测效果、非线性检测、粗粒化方法、条件熵等非线性时间序列一般分析方法的原理和算法研究基础上；构建了新的非线性时间序列分析的理论体系，归纳总结了非线性时间序列分析的基本问题和主要研究方面。2。

The main contributions of the second part of this dissertation are focused on the cryptographic properties of logical functions over finite field, with the help of the properties of trace functions, and that of p-polynomials, as well as the permutation theory over finite field: The new definition of Chrestenson linear spectrum is given and the relation between the new Chrestenson linear spectrum and the Chrestenson cyclic spectrum is presented, followed by the inverse formula of logical function over finite field; The distribution for linear structures of the logical functions over finite field is discussed and the complete construction of logical functions taking on all vectors as linear structures is suggested, which leads to the conception of the extended affine functions over finite field, whose cryptographic properties is similar to that of the affine functions over field GF (2) and prime field F〓; The relationship between the degeneration of logical functions and the linear structures, the degeneration of logical functions and the support of Chrestenson spectrum, as well as the relation between the nonlinearity and the linear structures are discussed; Using the relation of the logical functions over finite field and the vector logical functions over its prime field, we reveal the relationship between the perfect nonlinear functions over finite field and the vector generalized Bent functions over its prime field; The existence or not of the perfect nonlinear functions with any variables over any finite fields is offered, and some methods are proposed to construct the perfect nonlinear functions by using the balanced p-polynomials over finite field.

重新定义了有限域上逻辑函数的Chrestenson线性谱，考察了新定义的Chrestenson线性谱和原来的Chrestenson循环谱的关系，并利用一组对偶基给出了有限域上逻辑函数的反演公式；给出了有限域上随机变量联合分布的分解式，并利用随机变量联合分布的分解式对有限域上逻辑函数的密码性质进行了研究；给出了有限域上逻辑函数与相应素域上向量逻辑函数的关系，探讨了它们之间密码性质的联系，如平衡性，相关免疫性，扩散性，线性结构以及非线性度等；讨论了有限域上逻辑函数各类线性结构之间的关系，并给出了任意点都是线性结构的逻辑函数的全部构造，由此引出了有限域上的"泛仿射函数"的概念；考察了有限域上逻辑函数的退化性与线性结构的关系、退化性与Chrestenson谱支集的关系；给出了有限域逻辑函数非线性度的定义，利用有限域上逻辑函数的非线性度与相应素域上向量逻辑函数非线性度的关系，考察了有限域上逻辑函数的非线性度与线性结构的关系；利用有限域上逻辑函数与相应素域上向量逻辑函数的关系，揭示了有限域上的广义Bent函数与相应素域上的广义Bent函数的关系，以及有限域上的完全非线性函数与相应素域上向量广义Bent函数之间的关系；给出了任意有限域上任意n元完全非线性函数存在性与否的完整证明，并利用有限域上平衡的p-多项式的性质给出了有限域上完全非线性函数的一些基本构造方法。

When the nonlinear layer which has weak nonlinearity is thin and far away from the seismic source which be low energy, compared with the corresponding results in linear antis, the medium nonlinearity produces abort 1/10~1/4 and 1/10~1/3 differences of instantaneous dominant frequency aid bandwidth. These instantaneous feature differences of seismic waves induced by the nonlinearity of media become weaker and weaker with the decrease of source energy. However, with the increase of the wave travel path within the mummer layer, the nonlinear accumulation effect could still keep such phenomena as the waveform distortion and instantaneous dominant frequency and bandwidth variations in records.

在本文给定的弱非线性介质中（非线性炽较薄且远离震源），在震源能量较低的情况下，介质的非线性效应会造成地震波瞬时主频和频宽相对于线性介质情况分别为1/10~1/14和1/10~1/3左右的变化量此外，随着入射波能量的下降，介质非线性所造成的地震波瞬时特征的变化量减小，但随着地震波在穿越非线性介质时路径的加长，非线性作用的累积效应使得波形畸变和频率分布特征的变化等现象得以维持。

2Based on the nonlinear theory, we found the reservoir seismic nonlinearprediction and evaluation method technology, it is constituted by three nonlinearmethods and the technologys of the fracture prediction, the seismic inversion and thereservoir synthesis prediction evaluation: The seismic nonlinear prediction ofreservoir fracture is one new method which is composed with the phase spacereconstruction, the nonlinear parameters pick-up technology and the syntheticprediction evaluation method. The reservoir seismic high resolution nonlinearinversion is a new seismic inversion way which the BP algorithm is embeded in theauto-adapted genetic algorithms interior to have the predominances of neural networktechnology and genetic algorithms, it adopts the new embedded GA-BP mixalgorithms and the nonlinear mapping technology, and realizes the inversionautomatically, obtains the high resolution seismic inversion profile. The reservoirseismic nonlinear synthesis prediction and evaluation is a new method which iscombined organically of genetic algorithms and adaptive neural fuzzy inferencesystem, it will optimize the new seismic attribute space which are processed to take the input, uses the new adaptive mix algorithm which GDand LSE(least-square estimation) mix algorithms of ANFIS network insert to the GAinterior and taboo search algorithms is added to the intercrossed operation place,the simulation of the evaluation parameters is used quantitative evaluation guide lineto the reservoir quality and oil-gas distribution.

2基于非线性理论，创建了储层地震非线性预测与评价方法技术，它是由裂缝预测、地震反演和储层综合预测与评价等三大非线性方法与技术组成：储层裂缝地震非线性预测是由相空间重建、非线性参数提取与预测技术及综合评价方法组成的一种新型裂缝预测方法；储层地震高分辨率非线性反演是将BP算法嵌入自适应遗传算法内部所构成的集遗传算法和神经网络技术优势于一体的新的地震反演方法，它采用嵌入式新的混合算法及非线性映射技术，自动实现反演，获得高分辨率地震反演剖面；储层地震非线性综合预测与评价是由遗传算法与自适应神经网络—模糊推理系统有机地相结合而产生的储层预测与评价的新方法，它将优化处理所形成的新地震属性参数空间作为输入，采用将ANFIS网络中的混合算法嵌入到GA算法内部与禁忌搜索算法加在交叉操作处产生新的自适应混合算法，将综合评价参数作为储层品质和含油气性的定量评价指标。

In this paper, we study nonlinear perturbation analysis of mesoscale verticalcirculation and evolution equation by means of f plane, non-hydrostatic balance andfilter model. Outstanding nonlinear characteristic of mesoscale disturbance invertical direction, we obtain nonlinear symmetric disturbance equation anddisturbance amplitude s evolution equation by use of multi-scale and singularperturbation technique.

中文摘要：本文采用f平面、非静力平衡、滤声波模式，讨论了大气中尺度非线性动力学方程，通过尺度分析重点突出了扰动在垂直方向上的非线性特征，从而得到了对称扰动非线性方程，运用多重尺度方法和摄动分析讨论了对称扰动非线性重力惯性波的演化过程，得到非线性重力惯性波振幅演化服从广义的非线性Schrdinger方程。

Base on the analysis, the interface between a nonlinear lefthanded material and a righthanded material can support both forward TE surface waves and backward TE surface waves under certain conditions.

针对电磁波在非线性左手系材料中的传播性质，分别研究了左、右手系材料界面以及两左手系材料界面上非线性TE表面波的传播行为讨论了导波的频率特性、色散关系以及群速度随频率的变化规律分析表明，两种界面上的非线性TE表面波均存在频率通带和禁带，且带宽是传播功率的函数揭示了在一定条件下，左、右手系材料界面上既可以支持正向传播的非线性TE表面波，也可以支持反向传播的非线性TE表面波；两左手系材料界面上表面波的传播性质因材料参量的变化差异较大，一定参量条件下，该界面上仅支持反向传播的非线性TE表面波。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。