| 引用本文: | 宋平平,李海涛,杨琪琪,刘衍胜.多值逻辑网络的输出跟踪牵制控制[J].控制理论与应用,2016,33(9):1200~1206.[点击复制] |
| SONG Ping-ping,LI Hai-tao,YANG Qi-qi,LIU Yan-sheng.Pinning output tracking control of multi-valued logical networks[J].Control Theory and Technology,2016,33(9):1200~1206.[点击复制] |
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| 多值逻辑网络的输出跟踪牵制控制 |
| Pinning output tracking control of multi-valued logical networks |
| 摘要点击 3116 全文点击 1190 投稿时间：2015-12-12 修订日期：2016-04-30 |
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| DOI编号 10.7641/CTA.2016.50984 |
| 2016,33(9):1200-1206 |
| 中文关键词 多值逻辑网络 牵制控制 输出跟踪 分布式控制系统 矩阵半张量积 |
| 英文关键词 multi-valued logical network pinning control output tracking distributed control systems semi-tensor product of matrices |
| 基金项目 国家自然科学基金项目(61374065, 61503225), 山东省自然科学基金项目(ZR2015FQ003)资助. |
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| 中文摘要 |
| 本文利用代数状态空间方法, 研究了多值逻辑控制网络的输出跟踪牵制控制. 首先利用矩阵的半张量积给
出了带牵制控制的多值逻辑控制网络的代数表示. 其次基于该代数表示, 定义了一组合适的能达集, 并建立了多值
逻辑控制网络输出跟踪牵制控制器的设计方法. 再次, 利用多值逻辑哑算子的性质, 给出了多值逻辑控制网络分布
式输出跟踪控制问题可解的充要条件. 最后将所得的理论结果应用于网络演化博弈的演化行为分析. |
| 英文摘要 |
| This paper investigates the pinning control for the output tracking of multi-valued logical networks by using
the algebraic state space representation method, and presents some new results. First, the dynamics of multi-valued logical
networks with pinning control is converted to an algebraic form via the semi-tensor product of matrices. Second, based
on the algebraic form, a series of proper reachable sets is defined for multi-valued logical networks, and a constructive
procedure is proposed to design pinning output tracking controllers of multi-valued logical networks. Third, using the
property of multi-valued dummy operator, a necessary and sufficient condition is presented for the solvability of distributed
output tracking control of multi-valued logical networks. Finally, the obtained new results are applied to the evolutionary
behavior analysis of networked evolutionary games. |
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