An Adaptive Distributed Protocol for Finite-Time Infimum or Supremum Dynamic Consensus

In this letter, the problem of distributively tracking the minimum infimum (or maximum supremum) of a set of time-varying signals in finite-time is addressed. More specifically, each agent has access to a local time- varying exogenous signal, and all the agents are required to follow the minimum infimum (or the maximum supremum) of these signals in a distributed fashion. No assumption is made on the network size nor on the bounds of the exoge- nous signal derivatives. An adaptive protocol is provided which can provably solve the above problem in finite- time for multi-agent systems with undirected connected network topologies. Numerical simulations are provided to corroborate the theoretical findings.