First, in chapter 1, we discuss the boundedness in terms of two measures of impulsive differential system.
首先，在第一章中我们讨论了脉冲微分系统两个测度的有界性。
参考来源 - 脉冲微分系统两个测度有界性和稳定性定理The stability of the fuzzy control system and the boundedness of the tracking error and control signals a re ensured by Lyapunov method.
利用李亚普诺夫定理证明了闭环模糊控制系统的稳定性和跟踪误差、控制信号的有界性。
参考来源 - 基于自适应模糊滑模的机器人控制研究It is shown that in dealing with the boundedness of Chinese reflexives, syntactic study is not complete, reasonable or clear enough; non-syntactic study is short of strong theory basis.
种种研究表明,在汉语先行词对反身代词约束分析这一简单而复杂的问题上,仅凭句法分析恐怕缺乏全面性、合理性和清晰性;而完全抛弃句法分析,只靠非句法分析,又缺乏牢固的理论支撑。
参考来源 - 汉语反身代词“约束性”的句法与非句法研究之比较·2,447,543篇论文数据，部分数据来源于NoteExpress
As special cases, we obtain the boundedness of fractional operators.
特别的，我们得到了分数次积分算子的有界性。
Some boundedness theorems are given, and some simple atomic decompositions are also proved.
给出了几个有界性定理，证明了鞅空间的简单原子分解。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
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