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We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑>0时,众多文献讨论了回归系数阵的各种估计及LSE的有效性,本文考虑了当∑≥0的情形,给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计,研究了它的一个最大概率性质,并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件,在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计,定义了LSE相对于BLUE的一个相对效率,并给出了它的界。

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。

Northern Song Dynasty, there are thick with Mei Yao AC, advocacy literature reflects social contradictions of the poet Zhang Yong, promoting innovation Song poetry, well Ouyang Xiu, Lu regimes, often with Shanseng Alchemist exchanges, as "chao will Scriptures" for Notes, and many achievements, his son Zhang Jie Ren Yiyang county magistrate court recommended to open up business during the Meishan, farming and the abolition of the people are not allowed to Cave Yiyang forbidden land bordering some of the Meishan adopted a reconciliatory policy, security of the split, the new of two counties, will never be the central piece of the effective jurisdiction of the Inland Empire area for the first time into the "king of land", together with Zhangdun open when the plum deal in, the official Hubushilang.

北宋,有与梅尧臣交厚,倡导文学反映社会矛盾的诗人张颙,推动了宋初诗风革新,深受欧阳修、陆游的推崇,常与山僧方士交往,为《玉照定真经》作注,流传后世,其子张颉在任益阳知县期间向朝廷建议开拓经营梅山,取消不准峒民耕种与益阳接界之地的禁约,对梅山蛮采取怀柔政策,分置安化、新化二县,将这块从未被中央王朝有效管辖的内陆地域第一次纳入"王土",与章惇一起当为开梅首功,官至户部侍郎。

I am sure you will carefully scrutinise the efforts that I have made to enhance the public image of the accountancy profession.

现在荐贤举善的机会又一次来临了,而我为提高会计界在社会上的声望所付出的努力,您定必会小心审视。

Many problems in science and engineering are set in unbounded domains.

在科学和工程中,有许多问题的运动规律是用无界区域中的定解问题来描述的。

Analyses for well posed characteristic and boundedness of the solutions to the models, especially for existence and stability of the corresponding cyclic steady-state solutions and other large time behavior of the solutions to the models have much meaning to assure that the models are practical and to understand the processes of this kind reactors.

分析模型解的适定性和有界性,特别是循环定态解的存在唯一性和稳定性以及其它解的大时间性态,对保证模型的实用,深刻了解此类反应器的过程特性有重要的意义。

An enzyme found in certain plants,bacteria,and fungi that catalyzes the hydrolysis of pectin to pectic acid and methanol.

可以区分开来的外部周界是表皮层,由无定形组织的蜡质和果胶构成。

Let the opinions impugned be the belief in a God and in a future state, or any of the commonly received doctrines of morality.

且把所要论驳的意见定为信仰上帝和信仰彼界,或者任何一个一般公认的道德方面的教义。

Information from other methods may be necessary, because some solvates are known to be stable temperatures above the boiling point of the solvent.

制造和储存原料药的条件可能会导致离析或形成溶剂化合物或水化的原料药。这通常可以通过干燥法制界检验,或者通过卡尔菲舍滴定法检验。

In this paper, a concentration-compactness lemma for the problem of quasilinear elliptic equations is given, and the existence of nontrivial solutions is discussed by use of this lemma.

给出了相应的拟线性方程的定解问题的集中列紧引理,利用这一结果得到了方程在无界区域中非平凡解的存在性。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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