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Estimation and Control of Positive Complex Networks Using Linear Programming

Author

Listed:
  • Yan Zhang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Yuanyuan Wu

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Yishuang Sun

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

  • Pei Zhang

    (School of Information and Communication Engineering, Hainan University, Haikou 570228, China)

Abstract

This paper focuses on event-triggered state estimation and control of positive complex networks. An event-triggered condition is provided for discrete-time complex networks by which an event-based state estimator and an estimator-based controller are designed through matrix decomposition technology. Thus, the system is converted to an interval uncertain system. The positivity and the L 1 -gain stability of complex networks are ensured by resorting to a co-positive Lyapunov function. All conditions are solvable in terms of linear programming. Finally, the effectiveness of the proposed state estimator and controller are verified by a numerical example. The main contributions of this paper are as follows: (i) A positive complex network framework is constructed based on an event-triggered strategy, (ii) a new state estimator and an estimator-based controller are proposed, and (iii) a simple analysis and design approach consisting of a co-positive Lyapunov function and linear programming is presented for positive complex networks.

Suggested Citation

  • Yan Zhang & Yuanyuan Wu & Yishuang Sun & Pei Zhang, 2024. "Estimation and Control of Positive Complex Networks Using Linear Programming," Mathematics, MDPI, vol. 12(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:2971-:d:1485117
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