查询词典 convergence in norm

By introducing a differential-difference adaptive law, an adaptive repetitive learning control strategy is designed to ensure the asymptotic convergence of the extended tracking error in the sense of square error norm.

通过引进微分－差分参数自适应律，设计了一种自适应控制策略，使广义跟踪误差在误差平方范数意义下渐近收敛于零。

A differential difference type adaptive law and an adaptive iterative learning controller are constructed to ensure the asymptotic convergence of tracking errors in the sense of square error norm on the finite interval, by introducing a Lyapunov-like function, a sufficient condition of the convergence of the method is given.

通过引入微分－差分自适应学习律，设计了一种自适应控制策略，使得跟踪误差在一个有限区间上的积分渐近收敛于零；通过构造Lyapunov-like函数，给出了闭环系统收敛的一个充分条件。

A differential-difference mixed-type adaptive law and an adaptive learning control method are constructed to ensure the asymptotic convergence of the extended tracking error in the sense of square error norm.

通过引进新颖的微分－差分混合型参数自适应律，使广义跟踪误差在误差平方范数意义下渐近收敛于零。

Contaminated data ; regression model ; coefficient of contamination ; density function ; convergence in L_2 norm

污染数据；回归模型；污染系数；密度估计； L_2收敛性

The optimal convergence rates in H-1 and L-2 norms are proved, and the convergence order in L-2 norm is one order higher than that in H-1 norm.

并分别给出了解的H-1模和L-2模的最优收敛阶估计， L-2模收敛阶比H-1模收敛阶高一阶。

With an energy method,the optimal order convergence rate in discrete H1 norm is proved and the stability in H1 norm is proved without any restrictive conditions about steps Δt and h.

利用变分形式及能量方法，得到离散H1范数的最优阶先验误差估计及稳定性。

We applied the method based on certain energy estimates to prove the convergence and stability of the scheme in energy norm and maximum norm.

我们利用能量分析法证明了C-N格式在能量模和最大模意义下的收敛性和稳定性；通过矩阵分析和对广义特征值的估计得到离散L_2模意义下的收敛性和稳定性。

For overlapping domain decomposition method, we prove the geometric convergence for continuous algorithm in the sense of energy norm by means of projection theory, analyze the convergence rate of the algorithm in detail. And we also discuss the discretization of the algorithm and its finite element implementation. Some numerical experiments are also given.

对重 叠型区域分解算法，利用投影理论，证明了连续型算法在能量模意义下的几何收敛性，详细地分析了算法的收敛速度，也讨论了算法的离散化及有限元处理，并给出了相应的数值实验。

By means of the Hausdorff-Young inequality of convolution integral, the convergence of the updating rule is analyzed in the sense of Lebesgue-p norm. Invention of the nonlinearity and the interaction on convergence are discussed.

通过卷积的 Hausdorff-Young 不等式，本文分析了学习控制律在 Lebesgue-P 范数意义下的收敛性，讨论了系统的非线性性和关联性对控制律收敛性的影响。

Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.

首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链，其Cesaro平均收敛的收敛速度基础上，研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链，通过控制转移矩阵列平均收敛的收敛速度，利用矩阵范数的性质、非齐次马氏链的相关性质等，得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度，是B。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。