A fuel-optimal impulsive control problem, which is a generalization of the problem considered by Neustadt [9], is treated. Certain theoretical results, including necessary conditions for optimality, are derived using simple geometric arguments. It is shown that the general algorithms proposed by Barr and Gilbert [2] can be applied to obtain numerical solutions. The computer implementation is described in general terms and a number of numerical examples are given to demonstrate the efficiency and versatility of the algorithm.
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Gilbert et al. (1971) studied this question.
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