| 逻辑切换控制网络的可控性和稳定性 |
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| 引用本文： | 潘金凤,赵建立,付世华.逻辑切换控制网络的可控性和稳定性[J].山东大学学报(工学版),2013,43(4):62-67. |
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| 作者姓名： | 潘金凤 赵建立 付世华 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252000 |
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| 基金项目： | 国家自然科学基金资助项目(11171226) |
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| 摘 要： | 研究了多值逻辑切换控制网络和混合值逻辑切换控制网络的可控性和稳定性。通过多值逻辑切换输入状态的关联矩阵,得到多值逻辑切换控制网络可控和稳定的充分必要条件。将多值的情况推广到了混合值,得到混合值逻辑切换控制网络可控和稳定的充要条件。结论可以用于多值逻辑切换系统和混合值逻辑切换系统可控性与稳定性的判别。
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| 关 键 词： | 逻辑切换控制网络 可控性和稳定性 切换输入状态的关联矩阵 半张量积 |
| 收稿时间： | 2013-05-22 |
On controllability and stability of switched logical control networks |
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| PAN Jin-feng,ZHAO Jian-li,FU Shi-hua.On controllability and stability of switched logical control networks[J].Journal of Shandong University of Technology,2013,43(4):62-67. |
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| Authors: | PAN Jin-feng ZHAO Jian-li FU Shi-hua |
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| Affiliation: | School of Mathmatics Science, Liaocheng University, Liaocheng 252000, China |
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| Abstract: | The reachability and controllability of multi-valued switched logical control networks and mixed-valued switched logical control networks were investigated. Frist, the switching-input-state incidence matrix was used to anylysis controllability and stability of multi-valued switched logical control networks. Then the sufficient and necessary conditions were obtained for the controllability and stability of multi-valued switched logical control networks. Second, the reachability and controllability of mix valued switched logical control networks were studied. Finally, a example was given to illustrate the efficiency of the obtained results. |
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| Keywords: | switched logical control networks controllability and stability switching-state incidence matrix semi-tensor product |
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