Swarm Stability Analysis of High-Order Linear Time-Invariant Singular Multiagent Systems
Mingyu Fu, Shimin Wang, Yirui Cong · Mathematical Problems in Engineering · 2013
The swarm stability problem of high-order linear time-invariant (LTI) singular multiagent systems with directed graph topology is investigated extensively. Consensus of multiagent systems can be regarded as a specific case of swarm stability problem. Necessary and sufficient conditions for both swarm stability and consensus are presented. These conditions depend on the graph topology and generalized inverse theory, the dynamics of agents, and interaction among the neighbours. Several examples to illustrate the effectiveness of theoretical results are given.