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It is shown that the closed-loop system is globally uniformly ultimately bounded with respect to a compact set around the origin. This set can be made arbitrarily small by increasing the gradient of the saturation function.

其结果表明,闭环系统关于原点的一个紧集是整体一致最终有界的,并且该紧集可以由增加饱和函数的斜率而做得任意小。

It was proved that the proposed control scheme guarantees that all the variables in the closed-loop system are bounded and the mean-square tracking error can be made arbitrarily small by choosing some design parameters appropriately.

理论证明,所提方法保证闭环系统的所有信号一致有界,且通过选择适当的设计参数,可使跟踪误差任意的小。

We also give the showing style of these principles in Banach space and give some applied examples of them.

第三章讨论了等度连续原理、一致有界原理以及Banach-Steinhaus型定理的最新研究结果,给出了这些原理在Banach空间上的表现形式,并举出一些应用例子。

Meanwhile, it is proven that the condition number of the variable V-cycle multigrid preconditioner is uniformly bounded.

同时,证明了可变的V循环多重网格算子的条件数一致有界。

In this paper we mainly discuss the late extending styles of basic principles such as equicontinuity principle ,uniform boundedness principle ,Banach-Steinhaus theorem and ect., and describe the new characters of these new results in Banach space.

本文主要讨论等度连续原理、一致有界原理及Banach-Steinhaus定理等基本原理的最新推广形式,刻划这些新结果在Banach空间上的新特征。

With homogeneous Neumann boundary value condition when the spatial dimension is one. Moreover, some criteria on the global asymptotic stability of the positive equilibrium points for M_

在齐次Neumann边值条件下非负整体解的存在性和一致有界性,并通过构造Lyapunov函数给出M

The existence and uniform boundedness of the global solutions of the model for sulphur dioxide oxidation in a tubular reactor with periodic flow reversal are proved by the invariant domain method.

利用不变区域方法,证明了二氧化硫催化氧化管式反应器流向变换强制操作模型整体解的存在性和一致有界性。

For compact hypersurfaces and highcodimension compact submanifolds initial data respectively, we prove that the flow hasa smooth solution for all time under almost optimal conditions. Those conditions arethat the second fundamental form on the initial submanifolds is not too large, the exter-nal force field, with its any order derivatives, is bounded, and the field is convex with itseigenvalues satisfying a pinch inequality.

我们分别对紧超曲面初值和高余维紧子流形初值证明了当初始曲率比较小,并且外力场除了要各阶导数一致有界外,还要满足凸性条件以及特征值的一个pinch条件时,这种热流的光滑解长时间存在。

The uniform boundedness principle of a family of fuzzy linear order-homomorphisms in L-fuzzy topological vector spaces is obtained.

得到了格值模糊拓扑线性空间中fuzzy线性序同态族的一致有界原理。

By applying maximum principle we can get the uniform boundedness of the corresponding viscosity solutions; Furthermore we exploit three groups of strong-weak entropy combinations to get the H l?

文中分线性源项和一般源项两种情形进行讨论,利用极值原理导出粘性解的一致有界性,通过强弱熵组合得到熵方程的Hl?

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