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It is proved in the paper that the uniformly ultimate boundedness of solutionsimplies the existence of periodic solutions to functional differential equations with infinite delayin admissible phase space with fading memory .

本文证明了在具有衰减记忆的允许相空间中,无限时滞泛函微分方程的解的一致最终有界性蕴含了周期解的存在性。

On the basis of the coincident relation between a radar signal and a radar ambiguity function, an arbitrary bounded two-dimensional function of intergrable square is presented as a necessary and sufficient condition for radar ambiguity function.

本文基于雷达信号和雷达模糊度函数间的一致关系,提出了任意平方可积的二维有界函数是雷达模糊度函数的充要条件,并且指出它包括了Wilcox提出的离散的可实现条件。

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后,我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的,同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a,+∞上去。

Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed, bounded, and convex subset of uniformly convex Banach space.

王娴 ,何震Xu和Norr已经证明了建立在一致凸Banach空间的一个非空有界闭凸子集上的渐进非扩张映射的三步迭代的收敛定理问题。

In this paper, the relations between the uniform topology, weak operator topology and strong operator topology in operator space of Hilbert space and the continuity of several operations are discussed.

讨论了Hilbert空间上全体有界线性算子所成的算子空间上一致拓扑,弱算子拓扑,强算子拓扑之间的关系,以及一些运算在这些拓扑下的连续性。

The Lyapunov stability of the proposed robust decentralized controller is analyzed, and the global uniform ultimate boundedness stability with exponential convergence is proved.

对所设计的关节分散鲁棒控制器的 Lyapunov 稳定性进行了分析,证明系统是指数收敛全局一致最终有界稳定的。

All signals of the closed-loop system are proved to be semi-globally uniformly ultimately bounded under the proposed control, while the effectiveness of the proposed control is illustrated by simulations.

证明了所提出的控制方法能够保证闭环系统的所有信号半全局一致最终有界,并通过仿真验证了该方法的有效性。

Chui and Chun Li studied the construction and decomposition of wavelets in the space of bounded uniformly continuous functions on R.

相关的插值多分辨分析概念,给出了R~2上有界一致连续函数空间的稳定的小波生成元的构造。

The existence of pointwise robust convergent algorithm and uniformly robust convergence is next investigated. We propose an optimal l〓 robustness synthesis method for structured perturbations system by taking advantage of the famous Small Gain Theorem.

证明了最优l〓辨识算法的存在性;证明了黑箱辨识存在辨识算法使全局误差收敛于有界区间;提出并证明了逐点鲁棒收敛算法的存在性;证明了一致鲁棒收敛算法的存在性。

At the end, using back-stepping technique, control laws are designed for each control variable to guarantee the globally uniformly ultimately boundedness of all state variables and the convergency of system output.

控制规律的设计仍采用反步法(Back-stepping),对于每个不确定项,都设计了一个动态估计环节以应对其影响,最终保证了全部状态变量的一致最终有界性和系统输出的收敛性。

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