A numerical method for an impulsive optimal control problem with sensitivity consideration
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Authors
Wei, W.
Teo, Kok Lay
Zhan, Z.
Date
2012Type
Journal Article
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Wei, W. and Teo, K.L. and Zhan, Z. 2012. A numerical method for an impulsive optimal control problem with sensitivity consideration. Dynamic Systems and Applications. 21 (2-3): pp. 491-507.
Source Title
Dynamic Systems and Applications
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Department of Mathematics and Statistics
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Abstract
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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