Optimal control algorithms for switched Boolean network |
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Authors: | Fangfei Li Xiwen Lu Zhaoxu Yu |
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Institution: | 1. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, PR China;2. Key Laboratory of Advanced Control and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, Shanghai 200237, PR China |
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Abstract: | This paper investigates the time optimal control and optimal infinite-horizon control for a switched Boolean network. First, the switched Boolean network can be converted into a discrete switched system by using the semi-tensor product of matrices. Second, algorithms for time optimal control and optimal infinite-horizon control of the switched Boolean network are presented. Moreover, constrained optimal infinite-horizon control is studied. Finally, illustrative examples are given to show the efficiency of the obtained results. |
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