最优条件

In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

Then the stationary joint probability density, the conditional reliability function, the mean first-passage time of the optimally controlled system are obtained from solving the reduced FPK equation, the backward Kolmogorov equation and the Pontryagin equation, respectively of fully averaged systems.

求解与之相应的Fokker-Planck-Kolmogorov方程得最优控制系统的联合概率密度，进而求得最优控制系统的平均幅值；求解与之相应的后向Kolmogorov方程得最优控制系统的条件可靠性函数，进而求得首次穿越时间的条件概率密度；求解与之相应的Pontryagin方程得最优控制系统的平均首次穿越时间。

It is pointed out that optimal solution of linear programming can be represented as a sum of a convex combination of the optimal extreme point s and a nonnegatively linear combination of the optimal extreme directions.

本文指出了线性规划的最优解可表示为最优极点的凸组合和最优极方向的非负线性组合之和，确定了最优极方向存在的条件。

The penalty optimal brain surgeon is a post-training algorithm and it has extreme high complexity. The OBS oriented compute model implemented neural network training and OBS pruning simultaneously, by taking the OBS pruning case as a penalty term of neural network objective functions based on optimized structure of the regularization method included in the neural network training process. It both maintained the OBS's accuracy and had regularization method's high efficiency. Raised the generalization of neural network model.

最优脑外科过程是一种训练后网络剪枝算法，计算的复杂度非常高，通过把剪枝条件以惩罚项的形式纳入神经网络的训练目标函数中，把正则化方法的结构优化蕴涵于网络训练过程，构建面向最优脑外科过程的计算模型，实现网络训练过程和最优脑外科过程并行剪枝，既保持了最优脑外科过程的准确性，又具有正则化的高效性，提高了神经网络模型的泛化性能。

In this paper, by using complex configuration optimization method, we calculate the optimum parameters for a given mass TMD to meet the condition of minimum variance of displacement .

本文利用复形调优法进行TMD参数设计的优化计算，研究在满足结构最小均方位移条件下，对于给定质量比的调质阻尼器的最优参数，即最优频率和最优阻尼比。

To the schoduling problems arised in FMS, we develop an extended approximate Brownian network model for the multistation inulticlass queueing with general service time distribution, unreliable stations and finite buffers under balanced heavy loading conditions.

本文针对FMS的调度问题，考虑到多台机器、机器不可靠及缓冲库容量有限等特点，在满负载平衡的条件下，建立了一种近似的布朗网络模型，然后基于求解这个模型的最优控制问题而得到的最优队长和最优空闲时间，提出了一种最优控制策略，包括排序策略和输入控制策略，因为不涉及随机变量的分布类型，所以本文的方法适用于一般的FMS。

Moreover, in order to find the optimal control strategy we propose optimal control models and obtain optimality conditions.

此外为了寻找最优策略，建立了最优控制模型，研究了最优控制问题的最优性条件。

If the pattern has a low rate of convergence, the time of the human and machines will be wasted and the answer are not surely attainable.So,we must look for the patterns with the high rate of convergence or try to settle some parameters of the iteration patterns (for instance the overrelaxation parameter of SOR iterative method).

本文第二章针对AOR迭代法考察了当线性方程组的系数矩阵A为(1，1)相容次序矩阵且其Jacobi特征值为纯虚数或零时的迭代收敛范围，最优参数(即最优松弛因子和最优加速因子)及与之相应的谱半径，并将此最优谱半径与相应的SOR的进行比较，定量的给出在不同条件下，AOR和SOR迭代法各有其优越性，从而圆满的解决了在这两种迭代法之间如何适当的选择最佳迭代法的问题。

Based on Bellman stochastic nonlinear dynamic programming, we develop an optimal control algorithm for the discrete stochastic system with conditional Markov structure.

基于Bellman随机非线性动态规划法，提出了具有条件马尔科夫跳变结构的离散随机系统的最优控制方法，应用随机变结构系统的性质对最优控制算法进行了简化处理，并将后验概率密度函数用条件高斯函数来逼近，针对一类具有条件马尔科夫跳变结构的线性离散随机系统，给出了其逼近最优控制算法。

Considering linear and O-linear predictable variables, the author investigates optimal prediction problems by the trace of matrix. A few necessary conditions are derived and accordingly optimal linear and optimal O-linear unbiased predictors, which are unique with probabitity one, are obtained respectively by the author.

对于一类线性可预测变量和Φ-线性可预测变量，作者在矩阵迹意义下研究了一般增长曲线模型中最优预测问题，找到了其存在最优预测的几个必要条件，并在给定的条件下分别得到了最优线性无偏预测和最优Φ-线性无偏预测，而且还证明了它们在几乎处处意义下的唯一性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。