定理3X是囿空间的充要条件为：每个从X到Y的一致有界的线性算子族都是等度连续的。
Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.
研究了非线性无穷时滞微分系统解的一致有界性和一致最终有界性。
In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.
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。
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.
通过理论分析，证明了闭环系统是半全局一致终结有界的，跟踪误差收敛到一个小的残差集内。
By theoretical(analysis, ) the closed-loop control system is proven to be semiglobally uniformly ultimately bounded, (with) tracking error converging to a residual set.
所设计的控制器可保证闭环系统一致最终有界。
The proposed control law can guarantee the system uniformly ultimately bounded.
通过理论分析，证明了闭环控制系统半全局一致终结有界，跟踪误差收敛到零的一个邻域内。
By theoretical analysis, the closed-loop control system is proved to be semi-global uniformly ultimately bounded (UUB), and the output tracking error converges to a neighborhood of zero.
利用该方案设计的鲁棒控制器可确保相应闭环系统的状态一致最终有界。
The designed controller guarantees that the state of the obtained closed loop system is uniformly ultimately bounded.
本文在原有研究结果的基础上，讨论了叙列空间上的弱k级有界变差函数的一致收敛问题，得到了若干有关一致收敛的等价条件。
In this paper, based on -, the uniform convergence of the Kth order weak bounded variation functions on the sequence Spaces were investigated. Some equivalent conditions were also obtained.
基于李雅普·诺夫函数方法，给出了无激励非线性切换系统一致有界和一致最终有界的充分条件。
Using multiple Lyapunov functions, a sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.
也证明了系统的所有解的一致完全有界。
We also prove that all solutions of the system are uniformly ultimately bounded.
稳定性分析表明系统跟踪误差最终一致有界，数值实验验证了所提的算法的可行性和有效性。
It is proved in this paper that the tracking error is ultimately uniformly bounded, and the numerical simulation shows that the proposed method is feasible and efficient.
证明了自适应控制系统的所有信号全局一致有界，调节误差渐近收敛到零。
It is proved that all the signals in the adaptive control system are globally uniformly bounded, and the regulation error converges to zero asymptotically.
严格一致有界性是一种可以给出解的衰减率信息的有界性；
Strict boundedness is the kind of boundedness that gives us some information about the rate of decay of the solution.
本文从理论上证明了所设计的观测器误差一致有界，并且通过恰当选择有关设计参数可使估计误差任意小。
It is shown that the state estimation errors are uniformly bounded and the estimation errors can be made arbitrarily small by choosing some design parameters appropriately.
此算法能保证系统的全局稳定，使闭环系统的所有变量一致有界。
The scheme guarantees that system is stable and all the variables of the closed-loop system are bounded.
在论证过程中充分利用了解析函数的性质，系统推导了内闭一致有界与内闭一致收敛的关系。
The author also studies the relationship between internally closed uniform bound and internally closed uniform convergence.
仿真结果表明，该控制器不仅确保闭环系统的输出按指数规律跟踪期望输出，而且保证闭环系统状态的一致最终有界。
The simulation results show that the system output can track the desired output exponentially and all states of the closed-loop system are uniformly ultimately bounded.
文中提供了NHV的闭环系统稳定性分析，经过证明系统误差和权值学习误差一致最终有界。
The stability analyses of the NHV close-loop system are provided and it is proved that the system error and the weight learning error are uniformly ultimately hounded.
文中提供了NHV的闭环系统稳定性分析，经过证明系统误差和权值学习误差一致最终有界。
The stability analyses of the NHV close-loop system are provided and it is proved that the system error and the weight learning error are uniformly ultimately hounded.
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