非线性优化

In order to satisfy combined simulation and optimization for the engine, the multi-objective and multi parameter nonlinear restriction programming was performed using the Matlab code that transfered the import parameters such as the structural, injection, valve timing, combustion timing and other parameters to the simulation model.

用Matlab编制了多目标、多参数非线性约束优化算法程序，通过调用仿真计算模型，改变输入参数如压缩比、空燃比、点火提前角和气门正时等的输入数值，实现了联合仿真优化。

The latter have been seeking for an appropriate algorithm for solving an optimization problem expressed in a form of error norm between estimates from a proper forward model of light propagation in tissue and the measurements. Mathematically, this posed an ill-conditioned inverse problem.

间接法的核心是寻找解优化问题的合适的算法，此优化问题表示为正向模型和测量值间的误差范数形式，在数学上这是一个病态的非线性逆问题。

To develop the missile quasi-linear model, a state space model is established for missile dynamics, and function substitution method is used to describe the nonlinear dynamics of missile as linear combinations of functions of given time-varying parameters. With the minimizing variation range of model parameters over the whole design envelope as the optimum aim, linear programming optimum arithmetic is used to determine the model parameters at selected grid points.

为了建立导弹准线性化模型，将导弹动力学描述为状态空间形式；采用函数替换方法将导弹的非线性动力学描述为关于特定时变参数的函数的线性组合形式；以整个设计区间内模型参数变化范围最小为优化目标，采用线性规划优化算法确定了所选网格点上的模型参数。

Based on Pontryagin maximum principle,the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Considering the fact that the self constraints of the design variables can be formulated as the linear functions in the present process optimization, the nonlinear part of the constraints is dealt by introducing the concept of active constraint set. The linear part is dealt by the gradient projection method specially.

同时考虑到现在的优化求解问题中，设计变量自身的约束可以合理地表示成线性函数的形式，因此对于优化问题的非线性约束部分，通过引入活动约束集的概念进行处理；而对于线性边界约束，则采用梯度投影法作专门处理。

Expert system is also used to determine control parameters for the index function in real time.

利用专家系统实时地对系统优化性能指标当中的控制参数进行修正，有效地提高了滚动优化的效率，从而实现对复杂非线性系统的实时控制。

Support vector machine is used to build the nonlinear relationship. The parameters of SVM are optimized with a continuous ant colony algorithm. Thus the ACAC-SVM is proposed for forecasting slope stability. Slope of right-bank spandrel groove at Jinping is forward slope.

通过分析影响边坡稳定性的主要因素，采用支持向量机建立边坡稳定性和影响因素之间的非线性关系；同时，考虑到支持向量机参数对预测效果的影响，采用连续蚁群算法对其进行优化选择，从而提出边坡稳定性预测的蚁群优化支持向量机模型。

By combining the one dimensional search procedure in the determinate nonlinear programming problem with the stochastic approximation procedure, a new yield optimization algorithm is proposed and the rate of convergence is increased.

将确定性非线性规化问题求解的一维搜索过程与随机逼近搜索过程结合，提出了一种全新的合格率优化算法，进一步提高了合格率优化过程的收敛速度。

Base on the meaning about the agric resources optimize allocation of the complex system, the agric resources optimize allocation model was built by Non-linear dynamitic theory.

在分析复杂农业系统资源优化配置的含义的基础上，利用非线性动力学模型建立复杂农业系统资源优化模型

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。