Akademik Veri Yönetim Sistemi
International Journal of Systems Science, 2026 (SCI-Expanded, Scopus)
This paper studies the cluster consensus problem for multi-agent networks with switching topologies in discrete time. Sufficient conditions for achieving cluster consensus in multi-agent networks with dynamically changing topologies are established. An expression for the number of equilibrium points is derived based on the network’s topological properties, facilitating efficient analysis of cluster formation. Furthermore, we introduce a novel reduced graph framework and conclusively demonstrate that the proposed reduced graph definition and graph reduction method effectively decrease the network size while preserving critical structural and topological properties, which are used to determine the number of clusters formed in the steady state.