| 状态和输入受限的切换奇异布尔控制网络的最优控制 |
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| 引用本文： | 邓磊,巩蒙蒙,朱培勇. 状态和输入受限的切换奇异布尔控制网络的最优控制[J]. 控制理论与应用, 2018, 35(3): 299-307 |
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| 作者姓名： | 邓磊 巩蒙蒙 朱培勇 |
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| 作者单位： | 电子科技大学数学科学学院 |
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| 基金项目： | Supported by the National Nature Science Foundation of China (11501391) and the Scientific Research Project of Sichuan University of Science and Engineering (2014RC02). |
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| 摘 要： | 本文研究了状态和输入均受限的切换奇异布尔控制网络的最优控制问题.利用矩阵半张量积方法获得受限切换奇异布尔控制网络的等价代数形式.然后通过类似针变化得到了存在最优控制的必要条件,并且提出了一个算法设计切换序列和控制策略使收益函数最大化.最后给出例子验证所得结果的有效性.
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| 关 键 词： | 切换奇异布尔控制网络 状态和输入受限 最优控制 半张量积 |
Optimal control of switched singular Boolean control networks with state and input constraints |
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| DENG Lei,GONG Meng-meng and ZHU Pei-yong. Optimal control of switched singular Boolean control networks with state and input constraints[J]. Control Theory & Applications, 2018, 35(3): 299-307 |
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| Authors: | DENG Lei GONG Meng-meng ZHU Pei-yong |
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| Affiliation: | University of Electronic Science and Technology of China,University of Electronic Science and Technology of China and University of Electronic Science and Technology of China |
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| Abstract: | In the present paper, the optimal control problem of switched singular Boolean control networks (SSBCNs)with state and input constraints is investigated. By using the semi-tenser product of matrices, the parallel constrainedalgebraic form is obtained for constrained SSBCNs. Then a necessary condition for the existence of optimal control ispresented by using an analogous needle variation. An algorithm is proposed to design the proper switching sequence andcontrol strategy which maximizes the cost functional at a fixed termination time. Finally, a numerical example is given toshow that the new results obtained in this paper are very effective. |
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| Keywords: | switched singular Boolean control network state and input constraints optimal control semi-tensor product |
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