Pinning Control for the Disturbance Decoupling Problem of Boolean Networks

This paper investigates the pinning control for the disturbance decoupling problem (DDP) of Boolean networks (BNs) with disturbances. First, the solvability of DDP in BCNs is defined. Then, rank-conditions-based pinning control is proposed. Moreover, rank-conditions-based pinning state feedback cont...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2017-12, Vol.62 (12), p.6595-6601
Main Authors: Liu, Yang, Li, Bowen, Lu, Jianquan, Cao, Jinde
Format: Article
Language:English
Subjects:
Biological systems
Disturbance decoupling problem (DDP)
Genetics
Mathematics
Output feedback
rank-conditions-based pinning output feedback control
rank-conditions-based pinning state feedback control
Robustness
State feedback
Systems biology
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Summary:This paper investigates the pinning control for the disturbance decoupling problem (DDP) of Boolean networks (BNs) with disturbances. First, the solvability of DDP in BCNs is defined. Then, rank-conditions-based pinning control is proposed. Moreover, rank-conditions-based pinning state feedback controllers are designed for the DDP of BNs and the range of controllers' number is obtained. In addition, rank-conditions-based pinning output feedback controllers for the DDP of BNs are also discussed. An example is given to show the effectiveness of the obtained results.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2017.2715181