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Pinning Controllers for Activation Output Tracking of Boolean Network Under One-Bit Perturbation
This study introduces pinning controllers for Boolean networks to ensure activation output tracking (AOT) despite one-bit perturbations. Output feedback control is designed to recover AOT when disrupted.
Area of Science:
- Control theory
- Computational biology
- Network analysis
Background:
- Boolean networks are used to model complex biological systems.
- Activation output tracking (AOT) is crucial for understanding network dynamics.
- Perturbations can disrupt normal network function.
Purpose of the Study:
- To define and analyze activation output tracking (AOT) in Boolean networks.
- To investigate the impact of one-bit perturbations on AOT.
- To design pinning controllers for AOT recovery.
Main Methods:
- Semitensor product of matrices for Boolean network analysis.
- Definition of AOT based on the number of active outputs.
- Development of criteria for AOT assessment.
- Design of output feedback pinning controllers.
Main Results:
- Criteria for AOT are established.
- The effects of one-bit perturbations on AOT are characterized.
- A control strategy is proposed to restore AOT after perturbation.
- The effectiveness of the method is demonstrated on biological networks.
Conclusions:
- Pinning controllers can effectively ensure AOT in Boolean networks under one-bit perturbations.
- The proposed control strategy is robust and applicable to biological systems.
- This research contributes to the stability analysis and control of complex networks.
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