Remarks on “Distributed synchronization under uncertainty: A fuzzy approach”

In a recent paper by G. Oliva, S. Panzieri, and R. Setola the synchronization problem of a network of identical systems with fuzzy initial conditions is introduced, as a convenient framework to obtain a shared estimation of a distributed system when the state is affected by ambiguity and/or vagueness. In these remarks the conditions under which the results of the cited paper hold are discussed. We show that these conditions are indeed very restrictive and prevent many practical applications among which the one in the field of critical infrastructure protection reported as a case study in their paper. A technical error in the application of the proposed method to this case is discussed.