查询词典 pontryagin maximum principle

In this chapter, under the penalty functional satisfies the local Lipschitz condition, by using the Ekeland's variational principle and the properties of finite codimension, the Pontryagin's maximum principle of corresponding optimal control problem whose control variable is the harvesting rate and the input rate respectively is obtained.

本章在性能指标泛函满足局部Lipschitz条件下，利用Ekeland变分原理和有限余维的性质，证明了控制变量分别为收获率和输入率的相应控制问题的Pontryagin极大值原理。

Inthe first section,under the non-convex case we are devoted to investigate an optimalcontrol problem for a class of semilinear elliptic type equations which admit exactly twosolutions.By analyzing the property of a soltuion of the state equation and establishing the proper energy estimate,we prove the relaxed control method is fit for our problemand gain the Pontryagin\'s maximum principle.

第一节，在非凸情形下我们致力于一类只有两个解的半线性椭圆型方程的最优控制问题，通过对状态方程解性质的分析并建立适当的能量估计，我们证明了松弛控制方法对本问题的适用性并得到了最优对的Pontryagin\'s最大值原理。

The Pontryagin maximum principle is used to obtain the directions and the switch function of optimal thrusts.

基于C-W方程，提出了用Lagrange乘子法计算最优推力作用时刻和推力的大小及方向的方法。

In the study of open-loop optimal control problems, a useful tool is the so-called "Pontryagin"s Maximum Principle which gives a set of necessary conditions to optimal open-loop controls.

对于开环控制的研究，在最优控制理论中已经有了Pontryagin最大值原理这个有效的工具，它提供了最优开环控制的一个必要条件。

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。

In this paper,an optimum trajectory from perilune to lunar surface is derived in terms of Pontryagin's maximum principle,which is an open-loop way.Then,an optimal nonlinear control law based on an fuzzy neural network is presented,on the basis of the optimum trajectory,due to the nonlinear mapping function of the fuzzy neural network,which is a closed-loop way.

本文根据终端着陆条件和性能指标，以由Pontryagin's极大值原理得出从近月点到月球表面的最优着陆轨迹为基础，给出一种基于模糊神经网络的非线性最优控制策略，使被控系统能够通过模糊神经网络的非线性映射能力实现某种最优的闭环制导控制。

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。

Firstly the dimensionless planar motion model of SGKW was established;then the optimal control problem of shortest time coplanar hit orbit was transformed into two-point boundary value problem by means of Pontryagin maximum principle .

首先建立了SGKW的无量纲化平面运动模型，然后利用庞特里亚金极大值原理将时间最短共面打击轨道的最优控制问题转化为两点边值问题。

This OCVC problem was converted to a typical two-point boundary-value problem according to Pontryagin maximum value principle, and this TPBVP was a first order optimality condition which could be solved by Radau collocation method.

根据Pontryagin极大值原理建立该协调电压控制问题的1阶最优性条件，该条件是一个典型的两点边值问题。在此基础上采用拉道排列法求解这个两点边值问题。

Then through optimum thrust force acceleration governing equation obtained by Pontryagin maximum principle and the reasonable simplification, the optimum low thrust under the orbit elements is obtained. Finally, the optimum transfer orbit analytic solution is obtained by integrating the equations.

应用Pontryagin极大值原理建立航天器最优推力加速度的控制方程，对方程进行合理的简化，只考虑它们的一次项，忽略其它的高次项，从状态方程中得出小推力对轨道根数产生的摄动影响，然后分别对它们进行积分，从而得到最优转移轨道的解析解。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。