# A Sharp Bound on the $s$-Energy and Its Applications to Averaging Systems

28 Dec 2018 Chazelle Bernard

The {\em $s$-energy} is a generating function of wide applicability in network-based dynamics. We derive an (essentially) optimal bound of $(3/\rho s)^{n-1}$ on the $s$-energy of an $n$-agent symmetric averaging system, for any positive real $s\leq 1$, where~$\rho$ is a lower bound on the nonzero weights... (read more)

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# Categories

• MULTIAGENT SYSTEMS
• OPTIMIZATION AND CONTROL