Couple-group L2-L∞ Consensus of Nonlinear Multi-agent Systems with Markovian Switching Topologies

被引：0
|
作者：
Xiao Li
Cancan Zhou
Jianping Zhou
Zhen Wang
Jianwei Xia
机构：
[1] Huaibei Normal University,School of Computer Science and Technology
[2] Anhui University of Technology,School of Computer Science and Technology
[3] Shandong University of Science and Technology,College of Mathematics and Systems Science
[4] Liaocheng University,School of Mathematics Science
来源：
International Journal of Control, Automation and Systems | 2019年 / 17卷
关键词：
Couple-group consensus; -; control; multi-agent system; Markovian switching;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper is devoted to the couple-group L2-L∞ consensus problem of nonlinear multi-agent systems affected by external disturbances. The interaction topologies among agents obey a continuous-time Markovian process with unknown transition probabilities. By a system transformation, the problem of couple-group L2-L∞ consensus is converted into a L2-L∞ control issue. Then, by Lyapunov stability theory and graph theory, sufficient conditions for the couple-group L2-L∞ consensus are obtained. The control gains can be acquired via the solutions of a group of linear matrix inequalities. Moreover, the present method is extended to the multi-group L2-L∞ consensus. Finally, an example is provided to illustrate the effectiveness of the results.
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页码：575 / 585
页数：10
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