Consensus for Second-Order Sampled-Data Multi-Agent Systems with Antagonistic Information and Communication Noise

This note investigate the bipartite consensus problem for second-order sampled-data stochastic multi-agent systems (SMASs) with communication noise and antagonistic information. To reduce the influence of noise, we first consider a control gain that is a time-varying, as well as the bipartite sampled-data based stochastic approximation (SA) control protocol is proposed. The proposed protocol utilizes the state information from its neighbours and the agent’s own state feedback. Based on this control protocol, the bipartite consensus problem for sampled-data SMASs with communication noise can be solved. Meanwhile, the initial position and initial velocity may specify the final state for SMASs. Finally, the feasibility of our result is illustrated by a simulation example.