还进一步建立了当扰动趋于零时，关于这族不变测度的大偏差原理。
Furthermore, we establish a large deviations principle for the family of invariant measures as the perturbations tend to zero.
为了减少每次需要控制的阵元数，提高系统鲁棒性，在此基础上进一步提出了利用天线选择性幅值扰动形成零陷的方法。
Based on this new method, a selective algorithm is introduced for the purpose of reducing the number of controlled elements for null steering, and increasing the robust of the system.
由于取消了“扰动胀量为零”的假设，需要耦合求解扰动质量方程、扰动涡量输运方程和扰动能量输运方程。
Since the disturbance expansion has been taken into account, one has to solve the mass, vorticity transport and energy transport equations for disturbance motion in a coupled way.
生产费用发生扰动后，零售商的投资额与生产商的生产数量都会和原计划不同。
When production cost is disrupted, investment and production quantity will differ from those in the original planning.
提出未扰动系统出现多重周期解的条件，并给出了一些特殊方程零解的具体重数作为应用；
First, some conditions for the existence of a multiple periodic solutions are given and the multiplicity problem for zero solution of some concrete equations is investigated as applications.
通过研究得到以下一些主要结论或管理启示：1、扰动发生后，大多数情形下供应商和零售商最优策略选择是不一致的。
Through research we get some of conclusions or managerial insights, such as1. After the disruptions, the optimal strategy of choice in supplier and retailer is inconsistent in most cases.
区分扰动的具体程度，分别给出了市场规模扰动阶段和零售成本扰动阶段的协调策略。
The situation was also divided according to disruption extent and coordination strategy was gave in each extent.
这其中，零售成本扰动阶段的研究是基于市场规模扰动阶段对供应链调整的结果进行的。
The conclusion is that supply chain has robust not only in market scale disruption stage but also in retailer cost disruption stage.
随后又对智能天线的零陷问题进行了相应的研究，并在相位扰动形成零陷的基础上引入了干扰角度扩展思想，使得系统零陷得以展宽，系统性能有了一定的改观。
After that we research on smart antenna null question and advance the antilogy of angle extend based on phase interference arithmetic, it extend system null and ameliorate system capability.
随后又对智能天线的零陷问题进行了相应的研究，并在相位扰动形成零陷的基础上引入了干扰角度扩展思想，使得系统零陷得以展宽，系统性能有了一定的改观。
After that we research on smart antenna null question and advance the antilogy of angle extend based on phase interference arithmetic, it extend system null and ameliorate system capability.
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