This chapter considers time delays in distributed multi-agent coordination. The time delays are inevitable in networked systems. Time-domain and frequency-domain approaches are used to study leaderless and leader-following coordination algorithms with communication and input delays under a directed interaction graph. We consider both the single-integrator and double-integrator dynamics and present stability or boundedness conditions. Several interesting phenomena are analyzed and explained. Simulation results are presented to support the theoretical results.
KeywordsTracking Error Interaction Graph Positive Real Part Communication Delay Input Delay
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