最优控制

The formal solution of partial differential equations is given on characteristic line, the existence of the optimal control is proven by using Ekeland\'s variational principle, Gronwall Lemma and adjoint system, then the necessary condition of optimality is obtained by means of the conception of normal cone.

用特征线法表示出偏微分方程的形式解，利用Ekeland变分原理，Gronwall引理和共轭系统证明了最优控制的存在性，并借助于法锥概念得到了最优控制的必要性条件。

It shows that the optimal control given by Yoshisuke Misaka is approximate. Error of the approximation and scope of application of the approximate algorithm are discussed.

本文用极大值原理对文献[1]的带钢轧机厚度的前馈最优控制算式进行了推导，证明了美坂佳助所给出的前馈最优控制是近似的，讨论了这一近似的影响及其适用范围。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables, and the state and costate variables inside the time interval were approximated by Lagrange interpolation. Nonlinear optimal control problems were replaced by nonlinear equations through dual variable principle, and the symplectic algorithm for solving nonlinear optimal control problems can be obtained at the same time.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables,and the state and costate variables inside the time interval were approximated by Lagrange interpolation.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

With the application of stochastic optimal control theory and martingale optimality principle, the optimal solutions of the models in explicit form are extracted.

运用随机最优控制理论及鞅最优性原理求出了模型的显式最优解。

In regarding roof garden as the discussion of the feasibility of TMD, by controlling the accurate optimum minimal error of passive controlling the algorithm, calculate out the optimum feedback control of the system.

在将屋顶花园作为TMD的可行性的探讨中，用被动控制准最优控制算法的最小误差激励法，计算出了系统的准最优反馈控制力。

Afterward, we analyze four possible paths using Pontryagin 's maximum principle, We obtain optimal control rules of two advertising expenditure and the long-run optimal equilibrium solution of this model.

然后，利用庞特里亚金最大值原理对四种可行路径进行分析，分别得出了两种广告支出的最优控制规律与该模型的长期最优均衡解，并研究了长期最优均衡解的渐近性态。

Based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm γ-2 of state feedback H∞ control is shown to be the fundamental Rayleigh quotient eigen value in structural vibration or Euler stability problems.

文摘：根据结构力学与最优控制的模拟理论，指出状态反馈H∞控制黎卡提方程中的最优参数γ－2，实质上就是结构振动或稳定理论中的瑞利商最小本征值。

By regarding the forest-sum growth-cutting rate as the control variable and judging its optimality by "norm minimum", we have given a existence theorem of the optimal control for the area distributing systems of forest trees by utilizing space L2(0,T)'s reflexivity, smoothness and strict convexity.

本文将林木总和长消率作为控制变量，以"范数最小"来衡量其最优性，利用空间L2（0，T），T＞0的自反、光滑和严格凸性，给出了森林面积分布系统最优控制的一个存在性定理。

The optimality of the derived recursive algorithm is described based on the duality between the theory of optimal estimation and optimal process.

通过最优估计与最优控制理论的对偶性，说明了递推算法的最优估计解的存在和唯一性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。