最优性原理

Bellman最优性原理&论动态规划（Ⅰ）

Bellman 's Principle of Optimality - On Dynamic Programming ( I )

基于广义逆矩阵的理论和Bellman最优性原理，给出了多输入多输出（MIMO）系统状态反馈型闭型解。

Based on the theory of generalized inverse and Bellman 's principle of optimality , the closely solutions in the state feedback type of MIMO systems are presented .

它们不仅可以用来求解常义的最优策略，而且可以用来求解N阶最优策略，多目标非劣解以及其他问题，而这些是最优性原理不能概括、递推公式解决不了的。

All of them do not be included in the reach of Bellman 's principle of optimality and solved by his recursive formulas .

Bellman的最优性原理建立最优控制所满足的必要条件。

Bellman 's optimality principle to establish necessary conditions of optimal control .

根据Bellman最优性原理，得出了分红情况下的Bellman方程，通过对所得方程的分析给出了解析解和最优控制策略。

The Bellman equation with dividend is obtained by using the Bellman optimal principle . The explicit solution and the optimal control policy making the dividend maximize for the enterprises are achieved by analyzing the Bellman equation .

这种方法的基本思想是利用BPF的某些性质和引入某些补充量把连续时间LQR问题转化成一类特殊的动态规划问题，进而根据最优性原理进行求解。

The basic idea of the method is that a problem of the LQR is first converted to a special kind of problem of multi-stage dynamic programming by using some properties of the BPFs and introducing some implemental quantities .

提出了基于快车道最优性原理的动态能源预测新法。

A new approach to dynamic energy forecasting based on the principle of turnpike optimality is proposed .

本文主要将借助贝尔曼最优性原理，来研究一下多维多阶段的模糊最优控制问题。

In this article , we will study the multi-dimensional multistage fuzzy optimal control question , which mainly draw support from the Bellman optimality principle .

利用线性规划论的最优性原理和图解法解决一些特殊二重积分的估值问题。

This paper solves some special estimating value problems of double integral with the help of the optimality principle and graphical solution of the linear programming .

由于该算法便于利用计算机的并行算法可以提高计算速度，并能利用最优性原理减少计算量。

This method is illustrative and convenient , since the calculation speed cnn be increased as a result of parallel algorithm of computers , and calculation burden can also be reduced by optimal principles .

利用动态规划模型研究了生产管理中生产存贮问题的数学模型，给出了动态规划的最优性原理和动态规划基本方程，并给出了该数学模型求解的一个实例。

Using dynamic programming model , mathematical model of production-store has been researched in production management process . Based on this , the optimal theory , basic equation and a example of dynamic programming are given .

本文由动态规划的最优性原理导出了最优费用所满足的拟变分不等式，并最终得出了最优费用的解析表达式和确定出最优（s，S）订货策略所满足的代数方程。

The optimal cost is explicitly obtained as the smoothest solution of a Quasi Variational Inequality derived from the optimal principle of Dynamic Programming . The optimal ( s , S ) policy is determined as the unique solution of a system of algebraic equations .