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By using the interpolation mechanism of fuzzy system, an approach of building the series of fuzzy systems, which can uniformly approximate any continuous function on a compact domain to any accuracy, is given, and then the universal approximation theorem is generally proved.

利用模糊系统的插值模型来代替被控对象的真实模型,设计了一个自适应模糊控制策略;为保证系统的全局稳定性,增加了一个补偿控制律,它是根据模糊系统的逼近误差估计量来设计的,因此这里系统跟踪误差的收敛性不依赖于模型最小误差的平方可积性[70,71]。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性,得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理,并指出了单调序有界模糊数列未必截收敛、收敛。

Fuzzy Choquet integral is defined for the given nonnegative measurable function on the general fuzzy measurable space. The fuzzy integral is wholly regarded as a set function on the general fuzzy measurable space. And its some elementary properties and convergence are discussed.

在一般模糊测度空间上,针对给定的非负可测函数定义了λ-模糊Choquet积分,并将这种模糊积分整体看作一般模糊测度空间上的集函数,进而讨论了这种模糊积分的一些基本性质和收敛性。

Then the interpolation representations of fuzzy controllers with Mamdani implication operator, algebra product implication operator, Zadeh implication operator and implication operator are introduced separately.

然后分别获得了基於POFI方法的Mamdani蕴涵算子模糊控制器、代数积蕴涵运算子模糊控制器、Zadeh蕴涵运算子模糊控制器及加乘运算子模糊控制器的插值表示,由此发现这些模糊控制器具有函数逼近的泛性。

A lot of simulation results indicate the feasibility and validity of the algorithm, and the optimized fuzzy controller has more dynamic, steadier and more robust capability.

对寻优所得的模糊控制器的鲁棒性分析表明,该模糊控制器具有较强的鲁棒性,充分体现了模糊控制的优点。

Based on refrence,the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained.

在已有文献的基础上,讨论了模糊映射的凸性和严格凸性之间的关系,得到了凸模糊映射为严格凸模糊映射的充分条件。

In either case ofg∈C2 or gnot∈C2, this paper proposes a convenient method for building a T-S fuzzy system and gives a loose sufficient condition of its approximation ability, when the fuzzy sets are uniformly distributed, continuous and normalized.

本文在逼近函数g∈C2及g不∈C2两种情况下给出了一种当模糊集满足均匀性、连续性、正规性条件下T-S模糊系统的构造方法以及该T-S模糊系统逼近能力的充分条件。

The main work is done as following: 1.A model of dynamic fuzzy multi-dimensional data is proposed. The compose and the categoricalness theorem of the model of dynamic fuzzy multi-dimensional data is proposed. The provement of both is proposed.

主要工作有以下几方面: 1、给出了动态模糊多维数据模型,包括动态模糊多维数据模型合成定理和动态模糊多维数据模型完备性定理,对该模型的合成定理和完备性定理作了证明。

In this paper, some methods of fuzzy mathematics suah as the direct method of fuzzy pattern recognition, the method of fuzzy clustering analysis the method of fuzzy information retrieval, and the recently advanced method of fuzzy fractal dimension have been applied to earthquake monitoring and prediction in the Surrounding Capital Area based on the seismicity and earthquake precursors. The seismic and unseismic precursors before both the Tangshan M=7.8 great earthquake in July, 1976 and the Datong-yanggao M...

本文把模糊数学中的模糊模式识别的直接方法、模糊聚类分析方法、模糊信息检索方法和新近提出的模糊分维方法应用到以地震活动性和地震前兆为基础的首都圈地震监测预报当中,分析研究了发生在这一地区的两次大地震,即1976年唐山7.8级和1989年大同6.1级地震前用模糊数学方法识别出的地震学前兆和非地震学前兆,并对这一地区大地震的长期和中短期模糊预报方法与途径进行了简要的讨论。

To achieve high-performance PMSM position servo system, advanced control scheme, which is static precision, transient responses and self-adaptation and anti-disturbances, is needed in practice. Based on the analysis on the features and control principles of PMSM, this thesis established its math model using id=0 vector control method. Three close loops control system, which includes current loop, velocity loop and position loop, was built up. For position loop, the main feedback loop, we chose a new adapted-fuzzy CMAC intelligent controller, which includes self-learn ability of neural net and quick response merit of fuzzy controller. Finally, the author simulates PMSM position servo system by the simulink of matlab, an advanced computer simulation tool.

本文对PMSM的控制机理和特性作了较为深入的分析;建立了PMSM的数学模型,并采用了id=0的矢量控制策略;对控制系统组成及控制方式作了分析和比较,在此基础上建立了电流环、速度环和位置环的三闭环控制系统,对作为反馈主回路的位置环采用了模糊CMAC神经网络控制方法,该方法兼具模糊控制器的快速性和神经网络的自学习能力;构建了针对PMSM位置伺服系统的模糊CMAC控制器结构及其相应的算法;利用先进的计算机仿真工具(Matlab下的Simulink)对所提出的控制策略进行了数字仿真和分析;仿真和实验结果表明本文所提出的控制策略对PMSM位置伺服系统进行控制具有良好的鲁棒性能和快速性。

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