Consensus of second-order multi-agent systems with asynchronous communication topology

Abstract

In this paper, we first give the definition of asynchronous communication topology of second-order multiagent systems. Then we discuss respectively the leaderless and leader-following consensus problems of the second-order multiagent systems under asynchronous communication topology. The proposed control protocols based on nearest-neighbor interaction rules can guarantee the leaderless and leaderfollowing consensus to be achieved, as long as the fixed position communication graph is undirected and connected, the switching velocity communication digraph is balanced and jointly weakly connected in any two contiguous switching timeinterval. Finally, simulation results are presented to support the effectiveness of our theoretical results.

The Couple‐Group Consensus of Heterogeneous Multiagent Systems with Asynchronous Switching in Cooperative‐Competitive Networks

“…On the other hand, time delay inevitably exists between the subsystem and the controller in any switching system. Tis phenomenon will lead to asynchronous switching [18][19][20][21][22][23][24][25]. In many real situations, asynchronous switching will greatly reduce the performance of MASs.…”

“…In many real situations, asynchronous switching will greatly reduce the performance of MASs. Terefore, it is also very important for us to investigate the consensus or group consensus of MASs with asynchronous switching [21][22][23][24][25][26][27][28][29]. In [21], input-to-state stability (ISS), integral-ISS (iISS), and et-ISS for a class of stochastic systems with time delay and asynchronous switching have been investigated.…”

“…It is no doubt that asynchronous switching will prevent the MASs from achieving consensus or group consensus [25]. Up to now, some scholars have paid attention to the consensus of MASs with asynchronous switching, and some results have also been obtained [23][24][25][26][27][28][29][30]. In [23], leaderless and leader-following consensus of a kind of second-order MASs with asynchronous communication topology has been discussed.…”

“…Up to now, some scholars have paid attention to the consensus of MASs with asynchronous switching, and some results have also been obtained [23][24][25][26][27][28][29][30]. In [23], leaderless and leader-following consensus of a kind of second-order MASs with asynchronous communication topology has been discussed. In [24], the consensus of nonlinear multiagent systems with asynchronous switching has been investigated.…”

“…In [24], the consensus of nonlinear multiagent systems with asynchronous switching has been investigated. It is worth pointing out that the obtained results for consensus of MASs with asynchronous switching are needed to suppose that the system is homogeneous [23][24][25][26][27][28][29]. Tis is to say, each agent owns the same dynamic property.…”