Robust Weak Detectability Analysis of Boolean Networks Subject to Function Perturbation

As a class of state estimation issues, detectability is widely used in fault diagnosis, circuit design, and disease status detection. This brief analyzes the robust weak detectability of Boolean networks (BNs) under function perturbation. A simplified parallel system is constructed for BNs. Based on...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 69; no. 12; pp. 5004 - 5008
Main Authors Chen, Qi, Li, Haitao
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Boolean functions
Boolean network
Circuit design
Circuit stability
Circuits and systems
Fault diagnosis
function perturbation
Negative feedback
Nonlinear systems
Perturbation
Perturbation methods
Robustness
semi-tensor product of matrices
Stability criteria
State estimation
weak detectability
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Summary:As a class of state estimation issues, detectability is widely used in fault diagnosis, circuit design, and disease status detection. This brief analyzes the robust weak detectability of Boolean networks (BNs) under function perturbation. A simplified parallel system is constructed for BNs. Based on the transition of state pairs in the simplified parallel system, a new criterion is proposed for the weak detectability of BNs. Using the reachability from perturbed state pairs to attractors in indistinguishable pairs, the robust weak detectability of BNs subject to function perturbation is analyzed. A practical example of p53-MDM2 negative feedback regulatory loop is used to illustrate the obtained criteria.
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ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2022.3195182