Dans ce document, we investigate distributed Nash equilibrium seeking for a
class of two-subnetwork zero-sum games characterized by bilinear coupling. Nous
present a distributed primal-dual accelerated mirror-descent algorithm that
guarantees convergence. Cependant, we demonstrate that this time-varying
algorithm is not robust, as it fails to converge under even the slightest
disturbances. To address this limitation, we introduce a distributed
accelerated algorithm that employs a coordinated restarting mechanism. We model
this new algorithm as a hybrid dynamical system and establish that it possesses
structural robustness.

Cet article explore les excursions dans le temps et leurs implications.

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