Estimation and Control of Positive Complex Networks Using Linear Programming

Yan Zhang, Yuanyuan Wu (), Yishuang Sun and Pei Zhang
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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

Mathematics, 2024, vol. 12, issue 19, 1-12

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.

Keywords: positive complex networks; state estimation; co-positive Lyapunov function; linear programming (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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