Robust synchronization via maximal monotone couplings

Felix Miranda-Villatoro (1)

1 TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses

We explore the use of set-valued coupling laws for the design of robust synchronized behaviors in networks of dynamical systems. Under an incremental dissipativity context, it is shown that coupling systems via maximal monotone mappings leads to synchronization that is robust against both, matched disturbances and changes in the topology of the network. Additionally, it is shown that perfect synchronization of heterogeneous networks with persistent matched disturbances is attained with finite coupling strength but infinite incremental gain of the coupling maps. The real-life implementation of the proposed controllers is studied under the context of practical synchronization via Yosida regularizations. Simulations illustrate the effectiveness of the proposed methods.

Mots clés: Maximal monotone maps; incremental passivity; synchronization; nonsmooth dynamical systems; Yosida regularization

Domaines: Systèmes dynamiques [math.DS]; Automatique / Robotique; Optimisation et contrôle [math.OC]; Automatique; Systèmes et contrôle [cs.SY]

Felix Miranda-Villatoro. Robust synchronization via maximal monotone couplings. 2022. ⟨hal-03799388v1⟩