分段线性函数

The common method, that all strong-correlation terms of the model are eliminated, can bring the loss in the engineering application, so the new method is proposed that the identified model reserves some correlation. The augmented matrix A is constructed by the outputΔW and the matrix S. The"determinating order based on ratio of determinant"is brought out to screen the strong-correlation terms in the structure identification. The latent root estimation is improved in screening the eigenvalues and eigenvectors. Thus the estimation precision is improved greatly.The consistence check of guidance instrument error coefficients of flight test and ground test is the purpose of flight experiment. The causes of inconsistency of the two models are analyzed. The hypothesis test of linear regression model based on F statistics is proposed to check the consistence.Finally, the instability of error coefficients is probably caused by the change of the flight environments, therefore, the relation between the error coefficients and flight environment is analyzed. The approach is presented to identify SINS guidance instrument error models and compensate the error in the segmented sections corresponding to the change of vertical acceleration of aircraft.

在结构辨识中，常用的方法由于将模型中的强相关项全部剔除而给工程应用带来损失，因此，本文提出了新的有益思想，即在保留一定相关性的基础上进行辨识：将输出向量ΔW与环境函数矩阵S构成增广矩阵A，然后采用"比定阶行列式"来剔除相关向量的方法，这样既可以尽可能多地保留了对落点影响大的强相关参数，又可以对落点影响小的强相关参数给予剔除；在参数估计中，改进了特征根估计中特征根和特征向量的筛选方法，提出"近零"准则，从而大大提高了参数估计的精度；再者，鉴于天地模型"一致性"检验是飞行试验和SINS制导工具误差系数分离的主要目的，因此，本文又深入分析了造成天地模型不一致的原因，提出了采用基于F统计的线性回归模型假设检验方法来进行捷联制导工具误差模型的天地"一致性"检验；最后，鉴于飞行环境剧烈变化可能会对惯性仪表误差系数稳定性带来一定的影响，因此本文深入地分析了SINS制导工具误差系数与外界环境的关系，提出了基于过载变化大小的分段辨识和分段实时补偿的算法。

Chapter three (the methods of generating chaotic signal and its applications): In this chapter firstly the mechanism that a simple kinetic system, subsection linear map system, can generate chaotic phenomena is affirmed, the characteristics of correlation function of the chaotic signal generated by this system are simulated, on this basis a simple applicable method for generating chaotic signal is given; secondly some typical circuits generating chaotic signal are designed, also use operational amplifier to design a third -order autonomous circuit with chaotic dynamics. The basic mechanism and typical structures of chaos in the application of communication are introduced systematically and a simple method is provided for generating pseudo random code signal; At last Chaotic signal is applied into the analysis of system characteristic.

第三章(混沌信号产生方法及其应用)首先针对一类简单动力学系统——分段线性映射系统能够产生混沌现象的机理及由该系统所产生的混沌信号的自协方差函数特点进行了证明和计算机仿真，提出了软件产生混沌信号的一种实用方法；其次分析讨论了几种能够产生混沌信号的典型混沌电路，提出了用运算放大器与阻容元件实现三阶自治混沌电路的基本原理；概述了混沌在通信领域中应用的基本原理和典型结构，提出了产生伪随机码信号的一种简单方法；最后将混沌信号用于系统的特性分析中。

Value iteration based on the vector set results in the piecewise linear convex form of the optimal value function, which can also be used to obtain the optimal policy.

在向量集上进行的值迭代可以得到最优值函数的分段线性凸函数表示形式，同样也可以得到对应的策略。

Then, with the assumption that the consumption of an investor is the continuous or piecewise continuous function of time, the corresponding optimal investment decision and the effective frontier are derived by using the stochastic linear-quadratic control.

假设投资者的消费是时间的连续函数或者分段连续函数，应用线性二次随机控制的方法得到了这两种情形下的最优投资决策和有效前沿。

Secondly, based on the piecewise continuous Lyapunov function andconstant Lyapunov function, the problems of robust guaranteed cost control forparametric uncertain sampled-data control systems are investigated by using the jumpsystem model and linear matrix inequality technique.

然后，针对参数不确定采样系统的鲁棒保性能控制问题，利用跳变模型和线性矩阵不等式技术，分别基于分段连续Lyapunov函数方法和定常Lyapunov函数方法研究了采样系统的鲁棒保性能控制器综合问题。

The contour is second-order continuous piecewise cubic but not a linear function, and a storage structure of contour information was also studied.

研究结果表明：内插结果是具有整体二阶连续的分段三次函数而不是线性函数；该内插方法与常规方法相比，存贮结构节省60%~70%的存贮空间，并且更适用于基于等高线的各种地学分析。

At last ,the piecewise linear interpolation function is applied to deal with complicated constraints conditions for solving the objective function .The simulation results on the three gorges cascaded hydropower system long term optimal dispatch under the flood and dry power price and comparison with other algorithms show that it is greatly efficient to solve engineering optimal problems with complicated constraints.

针对模型中复杂的约束条件，采用分段线性插值函数实现了对目标函数的求解，并通过对丰枯电价下三峡梯级水电系统长期优化调度问题的计算及与其它算法的对比，验证了该算法可运用在解决具有复杂约束条件的工程优化问题中。

The improvements consist of two parts: 1 generalizing the PDE based approach to contrast enhancement to adapt to any specified stretch function for global and local contrast enhancement; 2 proposing a piecewise linear stretch function design method to achieve better histogram equalization.

改进包含两个方面：1 修改并推广了原有的基于PDE的灰度增强方法，使之可适用于任何设定的灰度拉伸函数；2给出了一种通用的分段线性拉伸函数设计方法，它较采用累积直方图作为灰度变换函数可达到更好的直方图均衡化效果。

A new simplified three-dimensional piecewise continuous autonomous system (a modified model of unified chaotic system) was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function.

通过用分段线性符号函数替换统一混沌系统中部分二次项，得到一个新分段连续的自治系统(称为统一混沌系统修改模型)。

The result indicates that the Morgan model of using the function of segment linear has higher precision.

结果表明，用分段线性式的水分亏缺函数构成的水肥综合修正Morgan模型预测精度较高。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新