Paper Info
Title
Distributed synchronization under uncertainty: A fuzzy approach
Abstract
In this paper the synchronization of a network of identical systems with fuzzy initial conditions is introduced, as a convenient framework to obtain a shared estimation of the state of a system based on partial and distributed observations, in the case where such a state is affected by ambiguity and/or vagueness. After discussing the synchronization of crisp systems, providing a criteria to find the information sharing law that lets the network converge to a shared trajectory, Discrete-Time Fuzzy Systems (DFSs) are introduced as an extension of scalar fuzzy difference equations. Besides providing a stability condition for a general DFS, in the linear case it is proven that, under a non-negativity assumption for the coefficients of the system, the fuzzyfication of the initial conditions does not compromise the stability of the crisp system. A framework for the synchronization of arrays of linear DFS is then introduced, proving that the crisp synchronization is a particular case of the proposed approach. Finally, a case study in the field of Critical Infrastructure Protection is provided.
Year
DOI
Venue
2012
10.1016/j.fss.2012.02.003
Fuzzy Sets and Systems
Keywords
Field
DocType
fuzzy approach,particular case,convenient framework,linear case,crisp system,initial condition,general dfs,fuzzy initial condition,case study,identical system,crisp synchronization,synchronization,fuzzy systems
Fuzzy set operations,Control theory,Artificial intelligence,Fuzzy control system,Fuzzy number,Ambiguity,Distributed File System,Mathematical optimization,Synchronization,Fuzzy logic,Design for Six Sigma,Mathematics,Machine learning
Journal
Volume
ISSN
Citations 
206,
0165-0114
14
PageRank 
References 
Authors
0.99
11
3
Name
Order
Citations
PageRank
gabriele oliva112021.23
Stefano Panzieri226936.84
Roberto Setola345462.69