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Distributed Optimization for Second-Order Multi-Agent Systems over Directed Networks

Author

Listed:
  • Feiyang Yang

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

  • Zhiyong Yu

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

  • Da Huang

    (Department of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi 830023, China)

  • Haijun Jiang

    (College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China)

Abstract

This paper studies a generalized distributed optimization problem for second-order multi-agent systems (MASs) over directed networks. Firstly, an improved distributed continuous-time algorithm is proposed. By using the linear transformation method and Lyapunov stability theory, some conditions are obtained to guarantee all agents’ states asymptotically reach the optimal solution. Secondly, to reduce unnecessary communication transmission and control cost, an event-triggered algorithm is designed. Moreover, the convergence of the algorithm is proved, and the Zeno behavior can be avoided based on strict theoretic analysis. Finally, one example is given to verify the good performance of the proposed algorithms.

Suggested Citation

  • Feiyang Yang & Zhiyong Yu & Da Huang & Haijun Jiang, 2022. "Distributed Optimization for Second-Order Multi-Agent Systems over Directed Networks," Mathematics, MDPI, vol. 10(20), pages 1-22, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3803-:d:943050
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