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1·Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.

定理3 X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。

2·It is proved that all the signals in the adaptive control system are globally uniformly bounded, and the regulation error converges to zero asymptotically.

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。

3·Using multiple Lyapunov functions, a sufficient condition is derived to ensure that the switched nonlinear systems are uniformly bounded and uniformly ultimate bounded.

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。

4·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.

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。

5·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.

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。

6·The designed controller guarantees that the state of the obtained closed loop system is uniformly ultimately bounded.

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。

7·The proposed control law can guarantee the system uniformly ultimately bounded.

所设计的控制器可保证闭环系统一致最终有界。

8·Is this the best way to get a bounded, random result, uniformly distributed over a column value?

这是去一个有界随机的结果，最好的方式，均匀地分布在一个列的值？

9·By theoretical(analysis, ) the closed-loop control system is proven to be semiglobally uniformly ultimately bounded, (with) tracking error converging to a residual set.

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。

10·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.

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。