Distributed containment control of second-order multiagent systems with input delays under general protocols

Complexity ◽  
2015 ◽  
Vol 21 (6) ◽  
pp. 112-120 ◽  
Author(s):  
Lina Rong ◽  
Hao Shen
Keyword(s):  
Multiagent Systems ◽  
Second Order ◽  
Containment Control ◽  
Input Delays

scholarly journals Formation-Containment Control of Second-Order Multiagent Systems via Intermittent Communication

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Mao-Dong Xia ◽  
Cheng-Lin Liu ◽  
Fei Liu
Keyword(s):  
Multiagent Systems ◽  
Lyapunov Functions ◽  
Second Order ◽  
Control Algorithms ◽  
Distributed Coordination ◽  
Time Intervals ◽  
Containment Control ◽  
Convergence Conditions ◽  
Intermittent Communication ◽  
Theoretical Results

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.

scholarly journals Multiconsensus of Second-Order Multiagent Systems with Input Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Jie Chen ◽  
Ming Chi ◽  
Zhi-Hong Guan ◽  
Rui-Quan Liao ◽  
Ding-Xue Zhang
Keyword(s):  
Hopf Bifurcation ◽  
Theoretical Analysis ◽  
Multiagent Systems ◽  
Upper Bound ◽  
Multiagent System ◽  
Second Order ◽  
Matrix Analysis ◽  
Simulation Results ◽  
Input Delays ◽  
Double Integrator

The multiconsensus problem of double-integrator dynamic multiagent systems has been investigated. Firstly, the dynamic multiconsensus, the static multiconsensus, and the periodic multiconsensus are considered as three cases of multiconsensus, respectively, in which the final multiconsensus convergence states are established by using matrix analysis. Secondly, as for the multiagent system with input delays, the maximal allowable upper bound of the delays is obtained by employing Hopf bifurcation of delayed networks theory. Finally, simulation results are presented to verify the theoretical analysis.

Containment Control for General Second-Order Multiagent Systems With Switched Dynamics

2020 ◽  
Vol 50 (2) ◽  
pp. 550-560 ◽  
Author(s):  
Fu-Yong Wang ◽  
Yuan-Hua Ni ◽  
Zhong-Xin Liu ◽  
Zeng-Qiang Chen
Keyword(s):  
Multiagent Systems ◽  
Second Order ◽  
Containment Control

scholarly journals Second-Order Containment Control of Multiagent Systems in the Presence of Uncertain Topologies with Time-Varying Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Fuyong Wang ◽  
Hongyong Yang ◽  
Zhongxin Liu ◽  
Zengqiang Chen
Keyword(s):  
Multiagent Systems ◽  
Control Algorithm ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Matrix ◽  
Time Varying ◽  
Containment Control ◽  
Communication Topology ◽  
The Stability ◽  
Switching Communication Topologies

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.

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