Title
Observability of Boolean Control Networks: A Unified Approach Based on Finite Automata.
Abstract
The problem on how to determine the observability of Boolean control networks (BCNs) has been open for five years already. In this technical note, we propose a unified approach to determine all the four types of observability of BCNs in the literature. We define the concept of weighted pair graphs for BCNs. In the sense of each observability, we use the so-called weighted pair graph to transform a BCN to a finite automaton, and then we use the automaton to determine observability. In particular, the two types of observability that rely on initial states and inputs in the literature are determined. Finally, we show that no pairs of the four types of observability are equivalent, which reveals the essence of nonlinearity of BCNs.
Year
DOI
Venue
2016
10.1109/TAC.2015.2501365
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Observability,Automata,Formal languages,Controllability,Transforms,Automation
Topology,Discrete mathematics,Graph,Observability,Mathematical optimization,Nonlinear system,Formal language,Controllability,Automaton,Finite-state machine,Automation,Mathematics
Journal
Volume
Issue
ISSN
61
9
0018-9286
Citations 
PageRank 
References 
35
0.91
11
Authors
2
Name
Order
Citations
PageRank
Kuize Zhang117611.72
Lijun Zhang224537.10