应用于控制系统的平均多频微分包含的紧界
Tight Bounds for Averaging Multi-Frequency Differential Inclusions, Applied to Control Systems
摘要：
本文给出了平均微分包含的新的紧界，并将其应用于由时间周期集值映射之和组成的多频包含。对于这类包含，我们建立了逼近误差的O阶\left（ε \right）的紧估计.然后将这些结果应用于由时间-周期函数之和组成的控制系统。
英文摘要：
We present new tight bounds for averaging differential inclusions, which we apply to multi-frequency inclusions consisting of a sum of time periodic set-valued mappings. For this family of inclusions we establish an a tight estimate of order O\left(ε\right) on the approximation error. These results are then applied to control systems consisting of a sum of time-periodic functions.
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