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。

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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。

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