TY - GEN
T1 - Multi-agent bipartite containment over time-varying structurally balanced networks
AU - Shao, Jinliang
AU - Zheng, Wei Xing
AU - Shi, Lei
AU - Cheng, Yuhua
AU - Chen, Guanrong
PY - 2020
Y1 - 2020
N2 - ![CDATA[This paper proposes a new model and its analysis results for time-varying structurally balanced networks. Through model transformations, the system stability problem is converted into the problem of product convergence of infinite sub-stochastic matrices (PCISM). Further, by constructing a new digraph for each interaction topology, the problem of PCISM can be handled by virtue of the properties of row-stochastic matrices. When all leaders belong to only one of the two subgroups, it is shown that the followers that are in the same subgroup as the leaders gradually enter the convex hull formed by the leaders' states, while the others gradually enter the convex hull formed by the leaders' sign-inverted states. And when both subgroups contain leaders, a sufficient algebraic graph condition is established to ensure that all followers can enter the convex hull consisting of the leaders' states and sign-inverted states together. Moreover, it is also found that the followers keep active after entering the convex hulls. Finally, the bipartite containment performance is verified by a simulation test.]]
AB - ![CDATA[This paper proposes a new model and its analysis results for time-varying structurally balanced networks. Through model transformations, the system stability problem is converted into the problem of product convergence of infinite sub-stochastic matrices (PCISM). Further, by constructing a new digraph for each interaction topology, the problem of PCISM can be handled by virtue of the properties of row-stochastic matrices. When all leaders belong to only one of the two subgroups, it is shown that the followers that are in the same subgroup as the leaders gradually enter the convex hull formed by the leaders' states, while the others gradually enter the convex hull formed by the leaders' sign-inverted states. And when both subgroups contain leaders, a sufficient algebraic graph condition is established to ensure that all followers can enter the convex hull consisting of the leaders' states and sign-inverted states together. Moreover, it is also found that the followers keep active after entering the convex hulls. Finally, the bipartite containment performance is verified by a simulation test.]]
UR - https://hdl.handle.net/1959.7/uws:64126
U2 - 10.1109/ISCAS45731.2020.9180444
DO - 10.1109/ISCAS45731.2020.9180444
M3 - Conference Paper
SN - 9781728133201
BT - Proceedings of the 2020 IEEE International Symposium on Circuits and Systems (ISCAS), Virtual Conference, October 10-21, 2020
PB - IEEE
T2 - IEEE International Symposium on Circuits and Systems
Y2 - 10 October 2020
ER -