收敛

In this chapter, the existence and uniqueness of the solution to the scheme, the convergence and stability to the scheme are proved by using discrete functional analysis theory, the apriority estimate method and the Brouwer fixed-point theory.

在本章中，运用离散泛函分析理论，结合先验估计、Brouwer不动点原理证明了相应差分格式解的存在唯一性、收敛性和稳定性。

By choosing suitable design parameters, all the signals in the resulting closed-loop system are uniformly bounded and the norm of the tracking error vector converges to an arbitrarily small neighborhood around zero by using the presented control approach.

通过选择适当的设计参数，提出的控制方法使得闭环系统的所有信号是一致有界的和跟踪误差向量的范数收敛到小的零邻域内。

By using the sliding mode approach and a multi-step control strategy, a new controller is presented, which can not only satisfy the control constraints but also stabilize the system to an arbitrarily small ε-neighborhood about its equilibrium in a finite time.

利用滑动模态的思想和多步控制策略，设计了不连续反馈镇定律，该镇定律一方面满足控制受限条件，另一方面使得闭环系统的状态收敛到预先给定的原点的任意小的ε邻域中。

We have proposed the switching adaptive control law for the systems and designed the Lyapunov function in this thesis. It is proved that the proposed switching adaptive control law guarantees the solutions of the nonlinear systems boundedness and convergence of the tracking error to a residual set based on the Lyapunovs stability theory. The residual set can be made arbitrarily small by choosing a certain design parameters.

文中设计出了这类系统的切换自适应控制律，并构造出相应的Lyapunov函数，基于Lyapunov稳定性理论证明了系统在所设计的控制律作用下，闭环信号都有界并且跟踪误差收敛到一个集合，通过选择适当的参数可使这个集合任意小。

It is shown that under the supervision of the monitoring functions, the switching of control signal will stop after a finite number of switching and the tracking error will converge to a residual set that can be made arbitrarily small by choosing some design parameters sufficiently small.

进而证明，当被控对象相对阶大于1、高频增益符号未知时，在监控函数的监测下，相关控制信号经至多有限次切换后将停止切换，跟踪误差将收敛到一个残集内，且该残集可通过减小某些设计参数而变得任意小。

Using the method of analysing Specht element, the application of nonconforming arbitrary quadrilateral element to the unilateral problem is studied, and the convergence analysis and optimal error estimates are given.

利用分析 Specht元的技巧，研究将非协调任意四边形单元应用于单侧问题，给出了相应的收敛性分析和最优误差估计。

An efficient 13-parameter arbitrary quadrilateral plate element is proposed by the double set parameter method and its convergence is proven.

我们用双参数法构造了一个13-自由度任意四边形板元，证明了其收敛性，并进行了数值实验。

In order to increase the computation efficiency, artificial dissipation, variable time step and enthalpy damping acceleration techniques are used in the five-step Runge-Kutta time stepping.

在定常的计算中，采用5步Runge-Kutta时间推进，引进人工耗散，应用了当地时间步长、焓阻尼等加速收敛技术。

In this paper,the problem of convergence of BP artificial neural networks is studied.

研究了BP神经网络的收敛问题。

Have been developed. However, these approaches are all complicated in the description of physical mechanism and expensive in the consumption of computational resource, even encounter the convergence problem of the computer algorithm when the size parameter, the asphericity, or the refractive index of the scattering particle becoming too extreme.

然而，这些方法在物理机制的描述上过于复杂，并且要求占用极大的计算资源，甚至会出现难以克服的收敛性问题（当一些关键参量如粒子的尺度，非球性，折射率变得极端时）。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。