Consensus of second-order multi-agent systems under time-varying communication networks

The connectivity of information exchange network plays a key role in consensus-seeking for multi-agent systems. However, the absence of connectivity often occurs in practical application circumstances. In this paper, consensus problem of a class of second-order multi-agent systems under time-varying communication networks is considered, where the different connectivity conditions are discussed in detail. Sufficient and/or necessary conditions, based on the concept Integral Connectivity, are proposed to guarantee consensus. The simulation is also given to demonstrate the results.