A numerical method for an impulsive optimal control problem with sensitivity consideration
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In this paper, we consider a class of optimal control problem governed by an impulsive systems with constraints in which some of its data are subject to variation. We formulate this optimal control problem as a new optimal control problem, where the sensitivity of the variation of parameters is minimized subject to an additional constraint indicating the allowable reduction in the optimal cost. The gradient formulae of the cost functional are obtained. On this basis, a gradient-based computational method is established, and the optimal control software, MISER 3.3, can be applied. For illustration, two numerical examples are solved by using the proposed method.
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