This paper studies the influence of the coupling type on the network desynchronization and proposes the algorithms to control it. We consider the FitzHugh-Nagumo network with random topology and different coupling values for different nodes. The simple mean field control which is similar for all nodes can be applicable for desynchronization of FitzHugh-Nagumo network with direct coupling. However, the network with diffusive coupling is much harder to desynchronize. In this case for large enough coupling values one should use different control algorithms for different nodes to desynchronize the network.