.png){kind=icon}
.png){kind=icon}
Return
Feedback Stabilization of Boolean Control Networks With Missing Data
.png){kind=icon}
PRE
AI
DOI：10.1109/TNNLS.2022.3146262.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Data loss is often random and unavoidable in realistic networks due to transmission failure or node faults. When it comes to Boolean control networks (BCNs), the model actually becomes a delayed system with unbounded time delays. It is difficult to find a suitable way to model it and transform it into a familiar form, so there have been no available results so far. In this article, the stabilization of BCNs is studied with Bernoulli-distributed missing data. First, an augmented probabilistic BCN (PBCN) is constructed to estimate the appearance of data loss items in the model form. Based on this model, some necessary and sufficient conditions are proposed based on the construction of reachable matrices and one-step state transition probability matrices. Moreover, algorithms are proposed to complete the state feedback stabilizability analysis. In addition, a constructive method is developed to design all feasible state feedback controllers. Finally, illustrative examples are given to show the effectiveness of the proposed results.
Keywords:
State feedback
Delay effects
Uncertainty
Transforms
Regulation
Probabilistic logic
Manganese
Boolean control networks (BCNs)
feedback stabilization
missing data
semitensor product (STP) of matrices
Journal
IF:
8.9
Papers:
7.5K
Citations:
7.2W