The non-consensus problems of high-order linear time-invariant dynamical homogeneous multiagentsystems are studied. Based on the conditions of consensus achievement, the mechanisms that lead to non-consensus motions are analysed. Besides, a comprehensive classification of diverse types of non-consensus phases corresponding to different conditions is conducted, which is jointly depending on the self-dynamics of the agents, the interactive protocol and the graph topology. A series of numerical examples are explained to illustrate thetheoretical analysis.
