On the fuzzy initial value problem
Fuzzy Sets and Systems - Fuzzy Numbers
Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation
Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation
Brief paper: Synchronizing linear systems via partial-state coupling
Automatica (Journal of IFAC)
Brief paper: Synchronization in networks of identical linear systems
Automatica (Journal of IFAC)
Numerical behavior envelopes for qualitative models
AAAI'93 Proceedings of the eleventh national conference on Artificial intelligence
| Hi-index | 0.20 |
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.