| 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（英文）[J].控制理论与应用,2018,35(3):299~307.[点击复制] |
| DENG Lei,GONG Meng-meng,ZHU Pei-yong.Optimal control of switched singular Boolean control networks with state and input constraints[J].Control Theory and Technology,2018,35(3):299~307.[点击复制] |
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| 状态和输入受限的切换奇异布尔控制网络的最优控制（英文） |
| Optimal control of switched singular Boolean control networks with state and input constraints |
| 摘要点击 1962 全文点击 855 |
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| DOI编号 10.7641/CTA.2017.17052 |
| 2018,35(3):299-307 |
| 中文关键词 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 |
| 英文关键词 switched singular Boolean control network state and input constraints optimal control semi-tensor product |
| 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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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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 constrained
algebraic form is obtained for constrained SSBCNs. Then a necessary condition for the existence of optimal control is
presented by using an analogous needle variation. An algorithm is proposed to design the proper switching sequence and
control strategy which maximizes the cost functional at a fixed termination time. Finally, a numerical example is given to
show that the new results obtained in this paper are very effective. |