Estimation and Control of Positive Complex Networks Using Linear Programming

被引:0
|
作者
Zhang, Yan [1 ]
Wu, Yuanyuan [1 ]
Sun, Yishuang [1 ]
Zhang, Pei [1 ]
机构
[1] Hainan Univ, Sch Informat & Commun Engn, Haikou 570228, Peoples R China
基金
海南省自然科学基金;
关键词
positive complex networks; state estimation; co-positive Lyapunov function; linear programming; STATE ESTIMATION; OBSERVER DESIGN; SYNCHRONIZATION; FEEDBACK;
D O I
10.3390/math12192971
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 L1-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.
引用
收藏
页数:12
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