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|Abstract:||The s-energy is a generating function of wide applicability in network-based dynamics. We derive an (essentially) optimal bound of (3/ρs) n-1 on the s-energy of an n-agent symmetric averaging system, for any positive real s ≤ 1, where ρ is a lower bound on the nonzero weights. This is done by introducing the new dynamics of twist systems. We show how to use the new bound on the s-energy to tighten the convergence rates of systems in opinion dynamics, flocking, and synchronization.|
|Citation:||Chazelle, Bernard. "A Sharp Bound on the s-Energy and Its Applications to Averaging Systems." IEEE Transactions on Automatic Control 64, no. 10 (2019): pp. 4385-4390. doi:10.1109/TAC.2019.2899509|
|Pages:||4385 - 4390|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||IEEE Transactions on Automatic Control|
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