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Securing consensus in fractional-order multi-agent systems: Algebraic approaches against Byzantine attacks

  • 0School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, PR China.
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December 3, 2024

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December 3, 2024

View abstract on PubMed

Summary

This summary is machine-generated.

This study explores fractional-order nonlinear multi-agent systems under Byzantine attacks. We developed algebraic conditions using graph theory and fractional-order Lyapunov methods to ensure leader-following consensus, enhancing system resilience.

Area Of Science

  • Control Theory
  • Networked Systems
  • Nonlinear Dynamics

Background

  • Multi-agent systems (MAS) are crucial for distributed control and coordination.
  • Fractional-order systems offer enhanced modeling capabilities but are complex to analyze.
  • Byzantine attacks pose significant threats to MAS consensus and integrity.

Purpose Of The Study

  • To investigate the consensus behavior of fractional-order nonlinear multi-agent systems under Byzantine attacks.
  • To develop robust algebraic conditions for achieving leader-following consensus.
  • To enhance the resilience of multi-agent systems against sensor and actuator manipulations.

Main Methods

  • Utilized weighted directed and undirected graphs to represent system topology.
  • Combined algebraic graph theory with fractional-order Lyapunov stability techniques.
  • Developed novel algebraic requirements for leader-following consensus analysis.

Main Results

  • Presented quantitative results demonstrating the effectiveness of the proposed consensus approach.
  • Validated the developed requirements through two numerical examples.
  • Showcased the potential of fractional-order systems for improved adversarial resilience.

Conclusions

  • The proposed algebraic framework effectively analyzes consensus in fractional-order nonlinear multi-agent systems under Byzantine attacks.
  • Fractional-order dynamics can be leveraged to increase system robustness against adversarial manipulations.
  • Findings have implications for secure and reliable distributed control in real-world applications.

Keywords:

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