Measure-Driven Nonlinear Dynamic Systems with Applications to Optimal Impulsive Controls.

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. [ABSTRACT FROM AUTHOR]