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Optimal preview pinning control of Boolean networks.

Linye Wu1, Jitao Sun2

  • 1School of Mathematical Sciences, Tongji University, Shanghai 200092, PR China.

ISA Transactions
|January 3, 2024
PubMed
Summary

This study introduces optimal preview pinning control for Boolean networks, using a novel policy iteration algorithm. The method enhances control performance by effectively utilizing future reference information.

Keywords:
Boolean networkOptimal preview controlPinning controlSemi-tensor product

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Area of Science:

  • Control Theory
  • Discrete Dynamical Systems

Background:

  • Boolean networks are widely used to model complex systems.
  • Existing control methods for Boolean networks often do not fully utilize available future information.

Purpose of the Study:

  • To develop an optimal preview pinning control strategy for Boolean networks.
  • To design an efficient algorithm that leverages future reference information for enhanced control performance.

Main Methods:

  • A policy iteration algorithm is proposed for Boolean networks.
  • The algorithm utilizes an augmented error system constructed via state augmentation and the Exclusive-Or (XOR) operator.
  • This approach optimizes control policies by incorporating future information.

Main Results:

  • The proposed policy iteration algorithm effectively optimizes control policies for Boolean networks.
  • Demonstrated improved control performance by leveraging future reference information.
  • An illustrative example confirmed the algorithm's effectiveness.

Conclusions:

  • The developed optimal preview pinning control strategy is effective for Boolean networks.
  • The policy iteration algorithm provides a robust method for enhancing control performance using future information.
  • This research offers a valuable tool for controlling complex discrete systems.