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

被引：13
作者：
Li, Xiao [1 ,2 ]
Zhou, Cancan [2 ]
Zhou, Jianping [2 ]
Wang, Zhen [3 ]
Xia, Jianwei [4 ]
机构：
[1] Huaibei Normal Univ, Sch Comp Sci & Technol, Huaibei 235000, Peoples R China
[2] Anhui Univ Technol, Sch Comp Sci & Technol, Maanshan 243032, Peoples R China
[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[4] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2019年 / 17卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Couple-group consensus; L-2-L control; multi-agent system; Markovian switching; CONTAINMENT CONTROL; INFINITY CONSENSUS; DESIGN; NETWORKS;
D O I：
10.1007/s12555-018-0550-7
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper is devoted to the couple-group L-2-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 L-2-L consensus is converted into a L-2-L control issue. Then, by Lyapunov stability theory and graph theory, sufficient conditions for the couple-group L-2-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 L-2-L consensus. Finally, an example is provided to illustrate the effectiveness of the results.
引用
收藏
页码：575 / 585
页数：11
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