下界的

Using general qualitative analysis methods, we study the boundedness of solutions, the properties of equilibrium and the existence of limit cycles.

利用常用的定性分析方法，讨论了模型在收获率条件下的解的有界性、平衡点的性态及极限环的存在性问题。

The imprecise polynomial circuit optimization is based on arithmetic transformation method, considering the fixed point and floating point representation condition first, then give a realization of circuits under different accuracy boundary, trade off error with power dissipation and area, applying branch and bound method to find the solution with minimal cost, determine the minimal word length which satisfies the error bound, make use of the automation synthesis approach to get ultimate optimize structure at the same time.

非精确多项式电路优化基于算术变换方法，首先考虑电路的定点和浮点表示情况，给出电路在不同精度界限下的实现，进行误差和功耗、面积的权衡，然后应用分枝定界方法求解出最小代价电路，决定满足误差要求的最小字长，同时利用自动综合优化方法得到最终的优化结构。

The author proves the infimum of the degree to I-fuzzy first countability in each of I-fuzzy topilogical spaces is less than that in their productive space.

作者证明了可数个I-fuzzy拓扑空间I-fuzzy第一可数的程度的下确界一定小于它们的积空间的I-fuzzy第一可数的程度。

In this paper, we consider the problem of Edgeworth expansions for a class of U-statistic functions by using their Taylor expansions.

利用函数的泰勒展开，考虑了一类U统计量函数的Edgeworth展开问题。分别在函数的三、四阶导数有界等条件的假设下，给出了一类U统计量函数的Edgeworth 展开式

Using the method of blow up lower and upper solutions, the existence and boundary behavior of positive boundary blow up solutions for some elliptic systems of competitive type with singular weight functions are obtained, here the singular weight functions are permitted to be bounded in some parts of the boundary, and to go to infinity or even oscillate in other parts.

利用爆破上、下解方法，本文建立了带奇异权函数的竞争型椭圆方程组正的边界爆破解的存在性和边界行为，这里奇异权函数可以在边界的某一部分有界，而在其他的部分趋于无穷或者震荡。

The use of diluted paint as principal medium reinforces the sensual simplicity of her images which combines the febrility of a child's drawing and the virtuosity of the remarkable drawer she has become.

这支乐队是在偶像团体泛滥，有许多所谓实力派的英国乐手也罢因看不惯偶像团体"降低"英国乐界水准的背景下，由Blur主唱Damon Albarn为主并隐身幕后代言，与知名卡通人物Tang Girl的作者漫画创办人Jamie Hewlett一起创作的四个具强烈城市HIP-HOP色彩的小鬼组成的。

Chapter 4,based on strong efficiency rather than efficiency or weak effi-ciency,discusses the similar problem to chapter 3.The concepts of strongsupremum and strong infimum for the set in finite-dimensionalEuclidean space are given,s-conjugate functions and s-subdifferentials theory is developed,by means of which,the duality problem ofmulitobjectivre programming for strong efficient solutions or called absoluteoptimal solutions is analysed,and a new duality theory-s-conjugateduality theory is proposed.

第四章，基于强有效性而不是有效性和弱有效性，给出了类似于第三章的结果，提出了有限维欧氏空间中集合的强上、下确界等概念，研究了点集映象的强共轭函数和强次微分问题，建立了点集映象的s-共轭函数及其s-次微分理论，并借助于这一理论，讨论了多目标规划关于绝对最优解或称强有效解的对偶性问题，建立了基于强有效性的s-共轭对偶理论。

Compared with deterministic systems, the infinitesimal generator for the system is a second-order differential operation. In this dissertation, we designed the quartic control Lyapunov function and systematically design the state-feedback and output feedback adaptive controller using integrator backstepping methodology. The closed-loop system is asymptotically stable in the large.

与确定性系统相比，随机系统的Lyapunov函数的微分运算包含二阶导，所以设计适当形式的控制Lyapunov函数十分关键，本文设计了四次型的控制Lyapunov函数，并应用积分反推技术，给出了状态反馈及输出反馈自适应控制器和鲁棒自适应控制器的设计方法，证明了闭环系统概率意义下的渐近稳定性和有界稳定性。

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 the proposed algorithm, we make use of the Lipschitz condition to determine lower bounds of functions over each rectangle.

在算法中，我们运用Lipschitz条件来确定目标函数和约束函数的在每个n-矩形上的上下界，对于n-矩形的分割，我们采用选择珩矩形最长边的二分法，同时我们采用了一些矩形删除技术，在不大幅增加计算量的前提下，起到了加速算法收敛的效果。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。