| 具有对抗关系和时变拓扑的耦合离散系统有界双向同步EI北大核心CSCD |
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| 引用本文： | 翟世东,刘佩,高辉.具有对抗关系和时变拓扑的耦合离散系统有界双向同步EI北大核心CSCD[J].自动化学报,2022,48(3):909-916. |
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| 作者姓名： | 翟世东 刘佩 高辉 |
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| 作者单位： | 1.重庆邮电大学自动化学院 重庆 400065 |
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| 基金项目： | 国家自然科学基金(11502039)；;重庆市自然科学基金(cstc2019jcyj-msxm X0109)；;重庆市教委创新团队项目(CXTDX201601019)资助~~； |
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| 摘 要： | 针对含有对抗关系和时变拓扑的耦合离散系统,本文研究了这类系统有界双向同步问题(Bounded bipartite synchronization, BBS).考虑了以下两种情形:1)在某时刻所有个体不能划分为两个敌对阵营;2)尽管在每一个时刻所有个体都可以被划分为两个敌对阵营,但每个阵营中的成员随着时间的推移而改变.对于以上两种情形,耦合系统不能达到双向同步,可以在一定条件下达到有界双向同步.本文得到了使耦合离散系统达到有界双向同步的一些充分条件,并通过一个数值例子验证了所得结论的有效性.
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| 关 键 词： | 双向同步 有界双向同步 符号图 离散系统 |
| 收稿时间： | 2019-03-26 |
Bounded Bipartite Synchronization for Coupled Discrete Systems Under Antagonistic Interactions and Time-varying Topologies |
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| Affiliation: | 1.School of Automation, Chongqing University of Posts and Telecommunications, Chongqing 4000652.Key Laboratory of Complex Systems and Bionics Control of Chongqing Municipality, Chongqing University of Posts and Telecommunications, Chongqing 400065 |
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| Abstract: | For coupled discrete systems with antagonistic interactions and time-varying topologies, this paper studies the bounded bipartite synchronization (BBS) for such coupled systems. This paper considers the following two cases: 1) At some time instants all agents cannot be divided into two hostile camps; 2) Although all agents can be partitioned into two hostile camps, the members of hostile camps change as time goes on. For the above conditions, the coupled systems cannot achieve bipartite synchronization, and can achieve BBS under some conditions. This paper obtains some sufficient conditions such that the coupled discrete system achieves BBS, and one numerical example is provided to illustrate the effectiveness of obtained results. |
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