It is proved that all the states involved in the closed-loop system will converge to a bounded region and the ultimate boundary of the region can be set by the compensator parameter.
该文证明了闭环控制系统中的状态都会收敛到一个有界区域，且该收敛域的大小可通过鲁棒控制器的参数进行设定。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.
研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。
In chapter 3, by virtue of the index for semi-closed 1-set contraction mapping on the unbounded sets (see [9]), some well-known boundary conditions and proper value problems on bounded sets in Banach spaces are extended to the case that is on unbounded sets.
第三章运用文[9]无界集上的不动点指数去研究Banach空间无界集上的一些著名的边界条件以及固有值问题，获得无界集上相应的定理。
At last, it is proved that when the control domain U is a bounded, closed set, the reachable set is the same as that when the control domain is the convex of U. It is an advancement for original results.
最后证明了当控制区域U是有界闭集时，系统的等时区域与控制区域是U的凸包时的等时区域相同，推广了有限维的结论。
Set H1 and H2 be a Hilbert spaces over the same filed, and let T: H1-H2 be a bounded linear operator with closed range.
设H1和H2是实或复域上的两个Hilbert空间，T是H1→H2具有闭值域的线性有界算子。
And nonempty closed and bounded convex set (? )
E和非空、闭的有界凸集（？）
Let (X, T) be a separated topological vector space, B be a closed bounded convex set. T drop property and quasi T drop property of set B is introduced.
（X，T）是可分离的拓扑线性空间，B是X中的非空有界闭凸集，提出了B有T滴状性质和B有拟T滴状性质的概念。
(r) integral on bounded closed set and the theorem of integral convergence
有界闭集上的（R）积分及积分收敛定理
Another proof of characterization of denting points of a closed bounded convex set
有界闭凸集的可凹点特征的另一证明
X be a locally closed, bounded, p-convex set.
X为局部闭，有界，p-凸集。
At first a general random fixed point theorem is established. It is pointed out that a set-valued function with bounded closed convex set value in a separable dual Banach space has a random fixed point if and only if it has a generalized fixed point.
首先建立了一个一般随机不动点定理，指出在对偶可分空间中有界闭凸集值映射存在随机不动点的充要条件为该集值映射存在广义不动点；
On the Extreme point of Bounded Closed Convex Set in Conjugate Space X
关于共轭空间X~中有界闭凸集的端点
Especially, we get a criterion of chaos in the sense of Li-Yorke for heteroclinic cycles connecting repellers and saddles in metric spaces with the compactness in the sense that each bounded and closed set of the space is compact.
特别地，我们在任意有界闭集为紧集的度量空间中建立了一条在Li-Yorke意义下混沌的判定定理，它是由连接扩张不动点和鞍点异宿环导致的。
Mean Square Riemann Integrals of the Bounded Closed Convex Set - valued Stochastic Processes
有界闭凸集值随机过程的均方Riemann积分
A judgement block is a nonempty, bounded and closed convex set;
判断块是非空有界闭凸集；
In the third section, firstly, we give a new set valued Bartle integral definition, then explore the integral properties for scalar function with respect to a bounded closed and convex set valued measure and establishes the limit theorem for set valued Bartle integral.
本文的第二部分给出了了集值Bartle积分一个新的定义，讨论了数值函数关于有界闭凸集值测度M的积分的性质并建立了集值Bartle积分的新的极限定理。
Ray Avoiding mappings are introduced on Hilbert space. Under certain assumptions, Ray Avoiding mapping has at least three fixed points on a bounded, closed convex set D of Hilbert space.
在Hilbert空间中引入RayAvoiding映射，证明了在一定条件下，Hilbert空间的有界闭凸集D中RayAvoiding映射至少存在3个不动点。
Here, the definition of Taylor joint spectrum of tuple of commuting bounded linear operators on Banach spaces is extended to the case when the tuple includes a closed operator. Also, the spectrum of this tuple is proved to be a closed set in C~n.
本文将Banach空间上两两可交换的有界线性算子组的Taylor联合谱的定义推广到含有一个闭算子的算子组的情况，并证明了这种算子组的谱是C~n中的一个闭集。
This paper concerned non autonomous finite delay difference equations and presented sufficient conditions for every bounded solution to approach a closed set Ω which contains the origin.
研究了一类高阶非线性变系数非自治中立型时滞差分方程正解的存在性，给出了该类方程存在最终正解的几个充分条件，推广了已有文献的某些结果。
In this paper, a bounded closed convex set-valued ordered increasing function and process are defined.
首先给出有界闭凸集值序增函数以及有界闭凸集序增过程的定义；