Bipartite containment control for discrete-time second-order multiagent systems with time-varying delays on switching signed topologies

2020 ◽  
Vol 417 ◽  
pp. 528-535
Author(s):  
Quan Zhou ◽  
Lulu Chen ◽  
Rui Li ◽  
Yuhua Cheng ◽  
Zhen Liu
2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Fuyong Wang ◽  
Hongyong Yang ◽  
Zhongxin Liu ◽  
Zengqiang Chen

This paper considers the containment control problem of second-order multiagent systems in the presence of time-varying delays and uncertainties with dynamically switching communication topologies. Moreover, the control algorithm is proposed for containment control, and the stability of the proposed containment control algorithm is studied with the aid of Lyapunov-Krasovskii function when the communication topology is jointly connected. Some sufficient conditions in terms of linear matrix inequalities (LMIs) are provided for second-order containment control with multiple stationary leaders. Finally, simulations are given to verify the effectiveness of the obtained theoretical results.


2017 ◽  
Vol 417 ◽  
pp. 236-246 ◽  
Author(s):  
Huiwei Liu ◽  
Hamid Reza Karimi ◽  
Shengli Du ◽  
Weiguo Xia ◽  
Chongquan Zhong

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Mao-Dong Xia ◽  
Cheng-Lin Liu ◽  
Fei Liu

This paper investigates the formation-containment control of second-order multiagent systems with intermittent communication. Distributed coordination control algorithms are proposed under aperiodic intermittent communication, where each agent only communicates with its neighboring agents on some disconnected time intervals. By means of constructing Lyapunov functions, sufficient convergence conditions are obtained for the leaders reaching a prescribed formation asymptotically and the followers converging into the convex hull formed by leaders asymptotically, respectively. Besides, sufficient convergence conditions are also provided for second-order multiagent systems converging to the desired formation-containment under time-varying communication delay and intermittent communication. Finally, the validity of theoretical results is illustrated by numerical simulations.


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