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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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。

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It is shown that the stability of the closed-loop system is guaranteed by analysis.

分析表明滑模控制器保证了闭环系统的稳定性。

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It enables closed-loop measurement and analysis of marketing effectiveness across the full customer lifecycle.

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