In this paper, we consider a class of nonlinear systems driven by measures generalizing the class of impulsive systems. We use measures as control and prove existence of optimal controls (measures) and present necessary conditions of optimality. We apply the general results to derive necessary conditions of optimality for purely impulse-driven systems. These results are then applied to optimal control problems related to geosynchronous satellites with some numerical results.

中文翻译：

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用于优化脉冲控制的测量驱动非线性动态系统

在本文中，我们考虑一类由泛化脉冲系统类的度量驱动的非线性系统。我们使用测度作为控制，证明最优控制（测度）的存在，并给出最优性的必要条件。我们应用一般结果来推导出纯脉冲驱动系统的最优性的必要条件。然后将这些结果应用于与地球同步卫星相关的优化控制问题，并获得一些数值结果。