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Optimal Control Problem of Singular Boolean Control Networks

Min Meng and Jun-e Feng*
International Journal of Control, Automation, and Systems, vol. 13, no. 2, pp.266-273, 2015

Abstract : In this paper, the optimal control problem of singular Boolean control networks is considered via semi-tensor product. Using an analogous needle variation, for multi-input case, a necessary condition for the existence of optimal control is provided based on the algebraic form of singular Boolean control networks, and the result is specialized to the single-input case. Then, an algorithm is presented to calculate an optimal control. Illustrative examples, including the single-input case, are given to show the feasibility of the theoretical results.

Keyword : Needle variation, optimal control, Pontryagin’s principle, semi-tensor product, singular Boolean control network.

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