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。
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.
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.
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