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A discrete-time clustered distributed algorithm for solving linear equations under denial-of-service attacks.

Bo Wang1, Chen Chen2, Jinghao Li2

  • 1College of Information Science and Engineering, Northeastern University, Shenyang 110819, China; China Tianchen Engineering Corporation Heilongjiang Branch, Harbin 150076, China.

ISA Transactions
|March 6, 2025
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Summary

This study introduces a discrete-time clustered distributed algorithm for solving large-scale linear equations in multi-agent networks, even with denial-of-service attacks. The algorithm achieves consensus on solutions, demonstrating resilience against such cyber threats.

Keywords:
Clustered multi-agent networkDenial-of-service attackDiscrete-time distributed algorithmLinear equations

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Area of Science:

  • Control Systems Engineering
  • Networked Systems
  • Cybersecurity

Background:

  • Large-scale linear equations are fundamental in many scientific and engineering domains.
  • Distributed algorithms offer scalable solutions for complex problems but are vulnerable to adversarial attacks.
  • Ensuring the robustness of distributed algorithms against denial-of-service (DoS) attacks is critical for reliable system operation.

Purpose of the Study:

  • To design a discrete-time clustered distributed algorithm for solving large-scale linear equations.
  • To analyze the resilience of the proposed algorithm against denial-of-service (DoS) attacks.
  • To validate the algorithm's effectiveness in practical applications like power system analysis.

Main Methods:

  • Development of a novel discrete-time clustered distributed algorithm.
  • Mathematical analysis of the algorithm's convergence and consensus properties under DoS attacks.
  • Numerical simulations, including power flow calculations in power systems, to demonstrate effectiveness.

Main Results:

  • The proposed distributed algorithm can solve large-scale linear equations.
  • The algorithm demonstrates exponential convergence to a consensus on a solution.
  • Resilience to DoS attacks is achieved under specific conditions related to attack frequency.

Conclusions:

  • A robust discrete-time clustered distributed algorithm for solving linear equations has been developed.
  • The algorithm exhibits resilience to denial-of-service attacks, ensuring reliable consensus.
  • The approach is effective, as validated by power system simulations, highlighting its practical applicability.