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Convergence and State Reconstruction of Time-Varying Multi-Agent Systems From Complete Observability Theory

Convergence and State Reconstruction of Time-Varying Multi-Agent Systems From Complete Observability Theory

We study continuous-time consensus dynamics for multi-agent systems with undirected switching interaction graphs.We establish a necessary and sufficient condition for exponential asymptotic consensus based on the classical theory of complete observability.The proof is remarkably simple compared to similar results in the literature and the conditions for consensus are mild.This observability-based …