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On conditions that the dead zone model parameters and the bound of the uncertain nonlinear term are all unknown, the proposed adaptive controller can eliminate the effect of actuator dead zone faults well and ensure bounded-errors tracking.

在死区模型所有参数以及系统非线性不确定项上界均未知的情况下,所设计的自适应控制器可以很好地消除执行器死区故障的影响,保证跟踪误差有界。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述,基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合,导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性,将结构各物理参数和温度的初、边值条件均视为区间变量。

Theorem Let be continuous on a bounded closed region in the -plane.(1) If is given by and , where are continuous functions of on, then

定理 设在xy平面上的有界闭区域 D 上连续,(1)若区域由和所给出,其中是上的连续函数,则。

On this basis, we give the characterization of the compact set in E〓,τ

引入了模糊数网的最终等度左连续概念,利用它得到了模糊数序列在水平收敛意义下存在极限的一个充要条件,在此基础上给出了空间E〓,τ(l中紧集的特征刻画,即空间E〓,τ(l中的闭集U是紧的当且仅当U一致支集有界,且U的每个网有在(0,1上最终等度左连续、在λ=0处最终等度右连续的子网。

In this paper, we use the Pluricomplex Green function to investigate the iterative poperties of holomorphic self-maps, which are defined on the unit disk, the unit ball, the bounded strongly convex domain and the bidisc.

基于该思路,本文就利用多复Green函数,在分别研究了单位圆、超球、有界强凸域以及双圆柱上全纯自映射迭代的基础上,进一步研究了一特殊非凸域-Hartogs三角形上全纯自映射迭代的性质。

Following the definition of graph topology and network routing, a bounded neighbor discovery algorithm is proposed, and the upper bound on trips of any loop crossing one specified links is proved. A path generation algorithm based on the neighbor/path matrix is also presented and validated by some examples.

文中首先给出网络和路由的定义和表示;再提出基于有界扩散的邻接发现算法,并证明某一回路穿越特定链路次数的上界;然后提出基于邻接矩阵的路径生成算法,并给出实例分析以验证上述算法的正确性。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面:一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题,在此基础上利用集值映射的η-预解算子,研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性,并提出了一类变参数三步迭代算法;二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性;三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

We also found the bounds of some conjugacy class graph which have bounded Fitting height.

并对几类一般的有界Fitting高图,分别求出它们的Fitting高的上界。

The Jacobi pseudospectral methods are applied to numericalsolutions of singular differential equations,differential equations in infinite intervals andin disc.

事实上,通过适当的变量代换,我们可把无界区域问题转化成某些特定的退化系数的有界区域上的奇异问题。

Then we find out the exact bounded wave solutions for WBK equation in chapter four. According to the theory of dynamical system, we investigate the explicit exact traveling wave solutions of nonlinear wave equations by using the characters of the closed trajectory connecting equilibrium points and the relations between obits and traveling waves.

在对系统进行定性分析、了解了系统所有可能解的大致形态的基础上,论文第四章给出了WBK方程的精确有界解,应用动力系统理论,利用连接平衡点的闭轨线的特点结合轨线与行波之间的对应关系来研究非线性波方程行波解的有界性及精确的显式表达式。

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