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Variable structure controller design for Boolean networks.

Liangjie Sun1, Jianquan Lu2, Yang Liu3

  • 1School of Mathematics, Southeast University, Nanjing 210096, China.

Neural Networks : the Official Journal of the International Neural Network Society
|November 3, 2017
PubMed
Summary
This summary is machine-generated.

This study introduces variable structure control for stabilizing Boolean networks (BNs). The method minimizes controlled nodes and ensures the shortest global stabilization time for BNs.

Keywords:
Boolean networkSemi-tensor product of matricesStabilizationVariable structure control

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Area of Science:

  • Control Theory
  • Computer Science
  • Systems Biology

Background:

  • Boolean networks (BNs) are widely used to model complex biological systems.
  • Stabilization of BNs is crucial for understanding system dynamics and predicting behavior.
  • Existing control methods may not be optimal in terms of speed or resource usage.

Purpose of the Study:

  • To develop an efficient variable structure control strategy for Boolean networks.
  • To minimize the number of nodes requiring control for stabilization.
  • To achieve the shortest possible global stabilization time.

Main Methods:

  • Designing variable structure control involves determining switching conditions and control laws.
  • A novel method is proposed to select states from the reaching mode.
  • The approach guarantees minimization of controlled nodes and optimal switching conditions.

Main Results:

  • The proposed method ensures that the number of controlled nodes is minimized.
  • The switching condition guarantees the shortest global stabilization time for the BN.
  • The control law ensures all selected states enter the sliding mode, leading to steady-state.

Conclusions:

  • The developed variable structure control offers an efficient approach for BN stabilization.
  • The method provides theoretical guarantees for minimized control effort and rapid stabilization.
  • The findings are illustrated with examples, validating the effectiveness of the proposed control strategy.