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

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.

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.