查询词典 nonlinear optimization

The conditional nonlinear optimal perturbation is a new theoretical method proposed by Mu,et al in 2003, which is an extension of the linear singular vector to nonlinear regimes. It has become a powerful tool to study some issues of nonlinear systems like predictability, sensitivity and so on, because it overcomes the defect of LSV for not representing the fastest developing perturbation of a nonlinear system.

条件非线性最优扰动是Mu等2003年提出的一个新的理论方法，它是线性奇异向量在非线性情形的推广，克服了线性奇异向量不能代表非线性系统最快发展扰动的缺陷，成为非线性系统可预报性和敏感性等研究新的有效工具。

The conditional nonlinear optimal perturbation is a new theoretical method proposed by Mu , et al in 2003, which is an extension of the linear singular vector to nonlinear regimes. It has become a powerful tool to study some issues of nonlinear systems like predictability, sensitivity and so on, because it overcomes the defect of LSV for not representing the fastest developing perturbation of a nonlinear system.

摘要条件非线性最优扰动是 Mu 等2003年提出的一个新的理论方法，它是线性奇异向量在非线性情形的推广，克服了线性奇异向量不能代表非线性系统最快发展扰动的缺陷，成为非线性系统可预报性和敏感性等研究新的有效工具。

Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解：用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能，它不但使我们能找到已知解而且也能找出新的根式孤立波解；用齐次平衡法给出一个曲面波方程的精确孤立波解，并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法，作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等；用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解；提出sine-Gordon型方程的直接求解方法，并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

In this paper, in order to prepare nonlinear optical polymer materials with high nonlinear optical activity and thermal stability, nonlinear optical thiazole chromophores with highβvalues were designed and synthesized, two kind of nonlinear optical polyurethane composite materials were prepared, and the structures and properties of them were researched.

本文以制备具有高非线性活性和热稳定性的非线性光学材料为目的，设计合成了新型具有高二阶极化率的噻唑生色分子，制备了两种新型非线性光学聚氨酯复合材料，并对它们的结构和性能进行了研究。

Operations are given and testified in this paper. The research methods of intrinsical linear nonholonomic dynamics are similar to those of holonomic dynamics.The rationality and equivalence of Chetaev model and Vacco model in the intrinsical linear nonholonomic system are testified from the mathematic and mechanical aspects. The essential reason is the nonlinear property of intrinsical nonlinear nonholonomic constrain that bring on Chetaev model and Vacco model inequivalent. Chetaev model is a linear approximate method in intrinsical nonlinear nonholonomic system. Vacco dynamical equations are not satisfied to the ideal constraint force conditions, but it gives a significative ponderation on the realizations of intrinsical nonlinear nonholonomic constrain.

本文比较研究了一般非完整系统的Chetaev模型和Vacco模型，首次从力学和数学的角度论证了这两种模型在完整系统和本质线性非完整系统中的合理性和等价性；同时给出了在本质非线性非完整系统中，Chetaev模型和Vacco模型不等价的根本原因，是由本质非线性非完整约束的不确定性非线性本质所导致的；指出在本质非线性非完整系统中，Chetaev模型是一种线性近似的结果，Vacco动力学方程虽然不满足约束力的理想性质，但是为我们研究本质非线性非完整约束的物理实现提供了有益的思考。

To the nonlinear plants, the shortage of normal inverse control method for nonlinear plants is discussed in chapter 6. ANFIS is effectively applied to nonlinear inverse dynamic control system. A project about how to design nonlinear inverse dynamic controller is also discussed here. It effectively avoid the inherent imperfects in the normal inverse control methods. These methods show a great promise.

对于非线性被控对象，本文在第六章分析了通常非线性逆控制方法的不足，并将自适应模糊神经推理系统用于非线性逆动态控制中，讨论了ANFIS非线性逆动态控制器的设计方案，有效地克服了在常规逆控制方法中所固有的缺陷，在非线性控制中很有应用前途。

In allusion to dynamic nonlinear large-scale industrial processes, to bring up gained the method of decentralized identification for the strong consistency estimates of the divisible steady-state models, it is used that property of polynomial can infinitely approach to the nonlinear function and in optimization processes use step signals as input signals, the divisible steady-state models of dynamic nonlinear large-scale industrial processes, and the cognizable conditions are obtained.

针对动态非线性大工业过程，提出了得到其可分稳态模型强一致性估计的分散辨识方法；利用多项式对非线性函数的无限逼近的性质和优化过程中设定点的阶跃信号作输入激励信号，获得了动态非线性大工业过程的可分稳态模型和可辨识的条件。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis. It provides a powerful general framework for the study of nonlinear partial differential equations, nonlinear integral equations, control theory, optimization. Practically, it has be applied abroad in physics, economics and engineering.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济学、工程学等应用学科也有着广泛的应用。

A stochastic nonlinear programming model of production with delay interaction (which is a static optimization model to solve the dynamic optimization problem) is built up and transformed into a deterministic nonlinear programming model and further into a linear programming model by adding constraints.

首先根据实际需要建立关联方程有延迟的车间生产的随机非线性规划模型，即一种求解动态优化问题的静态优化模型。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。