查询词典 pontryagin maximum principle

Combining Pontryagin's Maximum Principle with spline function approximation method, we have...

实例分析和计算表明，利用该方法所得的结果比根轧迹方法简单、准确。

Using the pontryagin's maximum principle with constant return to scale technology, we find the formula of tax rate on the steay state.

通过对模型动态的分析，我们得到了平衡增长路径上增长率以及税率值的数学表达式。

By using the Lie group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the necessary conditions and the structure equations of extremal trajectories are proposed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

The problem of optimal taxation policy is then solved by using Pontryagin's maximum principle.

证明了在平衡点存在的条件下，平衡点的稳定性。

In the last chapter, we establish the Pontryagin\'s maximum principle for the time optimal control problems governed by 2-dimensional Boussinesq system.

在第五章，我们对2维Boussinesq方程的时间最优控制问题，给出了最大值原理。

Under some proper conditions we prove the existence of optimal controls in the class of Lipschitz functions, and obtain an optimality condition looks somehow like Pontryagin's maximum principle for a smooth optimal control function.

在适当的假设条件下，我们证明了状态方程解的存在唯一性和最优控制的存在性；并且根据最有控制函数的光滑性进一步对最优化存在的必要条件进行分析。

Using Pontryagin's maximum principle, the mathematical model of the active shock isolation was solved. The result indicated that its optimal control is bang-bang control. Then, the characteristic parameters of the active rapid recovery shock isolator were obtained and discussed.

利用Pontyagin最大值原理对模型进行了求解，得出快速回复性隔离器的隔离力控制是一个最大力量控制，在此基础上给出了主动式快速回复冲击隔离器的特征参数，指明了其工程实现方法。

According to the requirement of a minimum-fuel-consumption, a method of coplanar hit orbit optimization design for SGKW was studied. The dimensionless planar motion model of SGKW was founded, and the optimal control problem of minimum-fuel-consumption coplanar hit orbit was derived into two-point-boundary-value problem according to Pontryagin maximum principle.

针对燃料最省要求，研究了SGKW共面打击轨道优化设计方法，建立了SGKW的无量纲化平面运动模型，利用庞特里亚金极大值原理将燃料最省共面打击轨道的最优控制问题转化为两点边值问题。

The model of programmed crystallization of SPM was proposed based on the moment transformation of the population considering the agglomeration. The optimal temperature-time curves in a batch crystallizer which maximized the terminal mean size and mean weight size can be determined from the application of the Pontryagin Maximum Principle. The calculated crystallization results heating under optimal temperature were compared with ones under linear or natural heating temperature.

根据第四章所得到的螺旋霉素晶体二次成核和晶体生长和布朗扩散引起的聚集动力学，利用第六章所描述的晶体尺寸分布的各阶矩对时间的一阶导数所构成的自封闭的一阶常微分方程组，采用庞得里亚金极大值原理，以温度为控制变量，在满足某些约束条件下，以最大平均尺寸和最大晶体重量平均尺寸为性能指标，计算出了螺旋霉素间歇结晶的最优温度—时间曲线，并同线性加热和自然方式进行了比较。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

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。