|Finite-time Asymmetric Bipartite Consensus for Signed Networks of Dynamic Agents
Xing Guo, Jinling Liang*, and Jianquan Lu
International Journal of Control, Automation, and Systems, vol. 17, no. 4, pp.1041-1049, 2019
Abstract : "This paper addresses the finite-time asymmetric bipartite consensus problem for multi-agent systems
(MAS) associated with signed graphs. Different from bipartite consensus in the previous literatures, asymmetric
bipartite consensus means that the states of all agents will converge to two values with different signs and modulus.
Two distinct nonlinear consensus control protocols are constructed for the considered system to achieve the finitetime
asymmetric bipartite consensus and the fixed-time asymmetric bipartite consensus, respectively. Under the
first proposed protocol, it is shown that within a finite time, the considered system can realize asymmetric bipartite
consensus. To strengthen the obtained result, the second protocol is proposed, which guarantees that all agents
could achieve the asymmetric bipartite consensus in fixed time, that is, the finite-time consensus can be reached
before a settling time which is irrelevant with the initial states of the agents. Finally, numerical simulations are
given to verify effectiveness of the proposed consensus control protocols."
"Asymmetric bipartite consensus, finite-time convergence, fixed-time consensus, multi-agent systems, signed graphs."