查询词典 optimal normal form

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。

Based on the concept of optimal control solution to dynamic system parameters identification and the optimal control theory of deterministic system, dynamics system parameters identification problem is brought into correspondence with optimal control problem.

本文基于动力学系统参数辨识问题最优控制解的概念和确定性动力学系统的最优控制理论，建立了参数辨识研究与最优控制理论的对应关系。

The optimal analytical results and numerical analysis results show that the optimal timer is inversely proportional to cube root of square speed; moreover, the optimal distance is proportional to cube root of travel speed.

并针对各种移动速度下之交通情境，分析不同行动电话位置更新策略之总成本。

In addition, we represent the variance of the process as a function of investment, as proposed by Hong and Hayya (1993), to decrease the number of defective items. Our models determine the optimal production lot-size, the optimal levels of investments, and the optimal levels of backorders that minimize the sum of inventory and quality-related costs.

另外，本研究并考虑藉由投资来降低制程的变异，其中利用Hong 等人(1993)所提出制程变异之投资函数，纳入总生产成本模式中考量，即投资后的制程变异为制程改善后所能降低的制程变异水准加上目前生产系统之最大变异水准与最低变异水准之差的指数分配关系，如此不仅能降低变异并提升制程能力指标，亦能让管理者利用本模式来比较不同制程改善的成本差异，推导出最佳生产批量、缺货量和投资成本，以提供存货管理者对生产决策之参考依据。

Based on this model, we studies the simultaneous existence of the agent"s optimal capital stock and income, the government"s optimal tax and public expenditure (We call the combination as an equilibrium mechanism), This essay draws the equivalent proposition of equilibrium mechanism existing and converts the former problem into another problem of selecting public sector mechanism that only includes the government behavior. So the existence of such as the optimal tax has been showed.

本文先建立了均衡机制存在性的一个等价命题，然后将均衡机制存d＼硕士学位论文＼N＝－wy MUnR'STImIS在性问题转化为只有政府行为的公共部门机制选择问题，从而得到最优税收等的存在性。

It provides a way to find optimal lower dimensional approximations of the given data, and It enormously reduce the storage of the data which is needed when the physical processes is recurred. The physical process can be described in series expansion function that only is related to the time and space. It is optimal approximation of the given data in a certain least squares optimal sense. The most obvious advantage of the method is that it reduces the computation cost and computation time markedly.

它提供了一种描绘物理过程的有效方法，该物理过程可以写成一个只与时间相关的函数和一个只与空间相关的函数的展开式序列，且它们在均方意义上是最优的，在展开式中只需要少量的项数就可较准确地描述该物理过程，因此降低计算维数、减少计算量和节省计算时间是这个方法最明显的优点。

In the paper, many further discussions about the optimal control problem,the approximate optimal solution to generalized time optimal control problem and stability of the degenerate systems with delay are considered and some important and meaningful results are obtained in it.

而本篇论文则是对具有时滞的退化系统的最优控制问题，广义时间最优控制问题的近似最优解和稳定性问题进行了讨论并且得出了一系列的重要成果。

First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing.

首先以较低的计算代价，获得最优控制Hamilton系统生成函数的低阶近似，得到一条近似的最优轨线，然后将最优控制Hamilton系统相对于近似最优轨线求"相对运动"，该"相对运动"仍具有Hamilton性质，利用这一"相对运动"的生成函数低阶近似，可以对近似最优轨线进行迭代修正，从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。

In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.

论文的结构如下：在第1章中，给出了本文研究课题的研究现状、理论意义和实际应用，并介绍了本文的研究对象、研究内容以及主要贡献；在第2章中，针对确定性非线性系统和随机非线性系统，分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本；对仿射系统，在控制Lyapunov函数框架下，给出了Sontag公式；同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念；在第3章中，针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统，给出并证明了逆最优增益配置可解定理，使用自适应Backstepping算法和均值定理，系统地设计了自适应逆最优控制器和逆最优跟踪器，这种设计方法可同时获得逆最优控制策略和自适应律，简单明了，仿真结果表明该控制算法的有效性，并给出了性能估计。

In Chapter 4 we discuss the solvable theorem of adaptive inverse optimal control problems, and proceed with controller designs of global asymptotic stability in probability, adaptive inverse optimal stabilization in probability and output-feedback adaptive inverse optimal stabilization in probability for strict-feedback stochastic nonlinear continuous systems with additive standard Wiener noises and constant unknown parameters using It〓's differentiation rule and an adaptive backstepping algorithm. Control laws and adaptive laws can be obtained at one time by this design scheme. Many simulations have been performed to validate the properties of the proposed adaptive control scheme.

在第4章中，针对具有标准Wiener噪声扰动和未知定常参数的不确定随机非线性系统，提出并证明了自适应逆最优控制问题可解定理，构造了适当形式的四次型随机控制Lvapunov函数，基于It〓微分规则和自适应Backstepping算法，系统地设计了全局依概率渐近稳定控制器、自适应逆最优控制器、输出反馈逆最优控制器以及在设计中如何处理二阶Hessian矩阵函数的方法，这种方法可同时获得控制律和自适应律，通过实例仿真，表明该控制算法是有效性的。

I'm not an actor. I'm a professor of paleontology.

我不是演员，我是古生物学教授

Spider Network Web site that is a very image of the name.

网络蜘蛛即Web Spider，是一个非常形象的名字。