| 引用本文: | 周俊岚,周荣佩.状态触发随机脉冲布尔控制网络的能控性[J].控制理论与应用,2025,42(4):787~795.[点击复制] |
| ZHOU Jun-lan,ZHOU Rong-pei.Controllability of state-triggered random impulsive Boolean control networks[J].Control Theory & Applications,2025,42(4):787~795.[点击复制] |
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| 状态触发随机脉冲布尔控制网络的能控性 |
| Controllability of state-triggered random impulsive Boolean control networks |
| 摘要点击 0 全文点击 0 投稿时间：2023-03-28 修订日期：2025-04-23 |
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| DOI编号 10.7641/CTA.2023.30171 |
| 2025,42(4):787-795 |
| 中文关键词 布尔控制网络 能控性 状态触发的随机脉冲 矩阵半张量积 |
| 英文关键词 Booleancontrolnetworks controllability state-triggered random impulses semi-tensor product of matrices |
| 基金项目 国家自然科学基金项目(62103178)资助. |
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| 中文摘要 |
| 本文基于混杂指标模型,研究了一类由状态触发的随机脉冲布尔控制网络的能控性.在该模型下,脉冲触
发依赖于当前时刻的状态,而网络的状态受到跳变概率因子的调控.首先运用矩阵半张量积工具,得到随机脉冲布
尔控制网络的混杂指标模型的代数形式.为避免产生芝诺现象,本文引入了前向完备性,并推导了网络前向完备的
充要条件.基于能控性的定义,通过构造新的矩阵幂运算,导出最大状态转移概率矩阵,进而得到随机脉冲布尔控制
网络的能控性的等价判据.最后通过仿真算例验证了所得结果的有效性. |
| 英文摘要 |
| Based on a hybrid-index model, this paper investigates the controllability of a class of random impulsive
Boolean control networks triggered by states. In this model, the condition of impulse triggering depends on the current
state, while the state of the network is regulated by the factor of jumping probability. Firstly, using the semi-tensor product
of matrices, we obtain the algebraic form of the hybrid-index model for random impulse Boolean control networks. In
order to avoid Zeno phenomenon, this paper introduces forward completeness and derives the necessary and sufficient
condition for the forward completeness of the network. On the basis of the definition of controllability, a new matrix power
operation is constructed to derive the maximum state transfer probability matrix, and then an equivalent criterion for the
controllability of the random impulse Boolean control network is obtained. Finally, the validity of the results is verified by
simulations. |
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