逻辑切换控制网络的可控性和稳定性

山东大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (4): 62-67.

逻辑切换控制网络的可控性和稳定性

潘金凤,赵建立*,付世华

聊城大学数学科学学院, 山东聊城 252000

收稿日期:2013-05-22 出版日期:2013-08-20 发布日期:2013-05-22
通讯作者: 赵建立(1964- ),男,山东聊城人,博士,教授,主要研究方向为数值计算及应用. E-mail:zhaojl1964@126.com
作者简介:潘金凤(1988- ), 女,山东潍坊人,硕士研究生,主要研究方向为矩阵理论及其应用. E-mail:352753916@qq.com
基金资助:
国家自然科学基金资助项目(11171226)

On controllability and stability of switched logical control networks

PAN Jin-feng, ZHAO Jian-li*, FU Shi-hua

School of Mathmatics Science, Liaocheng University, Liaocheng 252000, China

Received:2013-05-22 Online:2013-08-20 Published:2013-05-22

摘要/Abstract

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。

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

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.

Key words: switched logical control networks, controllability and stability, switching-state incidence matrix, semi-tensor product

中图分类号:

O233

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.

PAN Jin-feng, ZHAO Jian-li*, FU Shi-hua. On controllability and stability of switched logical control networks[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(4): 62-67.

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