A Fixed Point Theory Approach to Multi-Agent Consensus Dynamics With Delays

A Fixed Point Theory Approach to Multi-Agent Consensus Dynamics With Delays

Title : A Fixed Point Theory Approach to Multi-Agent Consensus Dynamics With Delays
Authors :
Somarakis, Christoforos

The classic linear time-invariant multi-agent consensus scheme is revisited in the presence of constant and distributed bounded delays. We create a fixed point argument and prove exponential convergence with specific rate that depends both on the topology of the communication graph and the upper bound of the allowed delay.

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