查询词典 optimality principle

Applying the theorem of alternative of subconvexlike map and other some conclusions, the optimality conditions represented by gradient for the vector extremum problems with generalized inequality constraint are obtained.

在线性拓扑空间中，引入了G-可微函数的梯度的概念，运用次似凸映射的择一定理和其他一些结论，获得了带广义不等式约束的向量极值问题的一种含有梯度的最优性条件。

We only prove an inequation rather than the standard dataflow equation (8) because we are interested only in the correctness of the solution, not in its optimality.

我们只证明这个不等式方程，而没有证明标准数据流方程(8)，原因是我们所感兴趣的只是解的正确性而不是解的最优性。

Firstly, the strict-feedback nonlinear systems with unknown virtual control coefficients bi have been studied and the problem of its inverse optimality has been solved, that isThe new solvable theorem of inverse optimal gain assignment problem has been proposed through the method of modular design for the original system.

本论文的内容安排如下：第一部分把上述严格反馈系统进一步推广为具有未知虚拟控制系数bi的严格反馈系非线性统并研究其逆最优问题，即第二部分对于推广之前的系统利用模块设计方法提出新的逆最优增益配置定理。

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。

There is also a comprehensive treatment of optimality conditions, Lagrange multiplier theory, and duality theory.

这门课程也包括了对最适化条件，拉格朗日乘数理论，和对偶理论的综合论述。

The necessary conditions for the optimal plastic design are obtained by means of the Lagrange multiplier method,and then the optimality conditions are derived.

数学上它表述为一个具有不等式约束的泛函极值问题，应用拉格朗日乘子法得到了最优塑性设计的一组必要条件，并由此导出了最优性条件。

The author develops a urban traffic control model and derives the optimality conditions of traffic control by optimization theory and Lagrangian function.

然后，在享受现代交通工具便利的同时，我们也面临着交通拥挤、堵塞和事故频繁发生等带来的困扰和对国民经济的制约。

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

On the basis of that, the article gives a regularization filter and builds up a quite new method of regularization. It also discusses the calculation of regularization resolutions enor and the choice of regularization parameter, and proves that this method is the best to make the resolution have order optimality.

文中以此为依据给出了一个正则化滤子函数，从而建立一种新的正则化方法，并讨论了正则解的误差估计及正则参数的选取问题，证明了这种方法使正则解的误差具有渐进最优阶。

The algorithms based on two necessary condition is monotone decreasing, for multi-extreme point in solution space, the distribution of final codebook seriously depend on that of initial codebook, it is difficult to cast off if get in local optimality.

然而这些算法本身属单调梯度下降算法，在解空间存在多极值点时，最终码书的分布较大依赖初始码书分布，一旦落入局部最优区域，很难摆脱。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。