Multipartite tracking consensus of linear MASs with arbitrarily projective parameters

This paper proposes distributed bipartite and multipartite tracking consensus for linear multiagent systems (MASs) with arbitrarily nonzero projective parameters in networks, which includes traditional consensus, bipartite consensus and group consensus as its special items. Based on the projective similarity transformation and Riccati inequality, novel types of protocols are designed to achieve bipartite and multipartite consensus exponentially without analysing signed graph as in most current literature on bipartite problem. For obtaining multipartite consensus involving less global information, the distributed protocols with adaptive tuning of the coupling strength are further designed. The theoretical results are illustrated through two numerical simulation examples when linear systems are equilibrium point and periodic states.