Optimal control problem of singular Boolean control networks |
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Authors: | Min Meng Jun-e Feng |
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Affiliation: | 1.School of Mathematics,Shandong University,Jinan,P. R. China |
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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. |
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