Polynomial inequality-based consensus pinning control approach to time-delayed second-order multi-agent systems via betweenness centrality

被引:0
作者
Lee, Yong-Gwon [1 ]
Kaviarasan, B. [2 ]
Park, Myeong-Jin [3 ]
Kwon, Oh-Min [1 ]
机构
[1] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea
[2] Koneru Lakshmaiah Educ Fdn, Dept Math, Vaddeswaram 522302, India
[3] Kyung Hee Univ, Humanitas Coll, Yongin 17104, South Korea
来源
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 142卷
基金
新加坡国家研究基金会;
关键词
Betweenness centrality; Lyapunov analysis; Multi-agent systems; Pinning control; Polynomial inequality; Time-delay; INTEGRAL INEQUALITY; VARYING DELAY; STABILITY; IMPROVEMENT;
D O I
10.1016/j.cnsns.2024.108582
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper introduces a new consensus pinning control strategy for second-order dynamic multi- agent systems with time-delayed input. A novel pinning controller is developed by utilizing betweenness centrality analysis and polynomial inequality to ensure efficient consensus of the addressed system. The Lyapunov-Krasovskii functionals are used to improve the maximum time- delay bound that occurs in the control input. Moreover, the ideal second-order system and the linearized ball and beam system are given to verify the superiority of the proposed method.
引用
收藏
页数:14
相关论文
共 40 条
[1]   Improvement on reciprocally convex combination lemma and quadratic function negative-definiteness lemma [J].
Chen, Jun ;
Park, Ju H. ;
Xu, Shengyuan .
JOURNAL OF THE FRANKLIN INSTITUTE, 2022, 359 (02) :1347-1360
[2]   Stability analysis of systems with time-varying delay: a quadratic-partitioning method [J].
Chen, Jun ;
Park, Ju H. ;
Xu, Shengyuan .
IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (18) :3184-3189
[3]   A Critical Review of Robustness in Power Grids Using Complex Networks Concepts [J].
Cuadra, Lucas ;
Salcedo-Sanz, Sancho ;
Del Ser, Javier ;
Jimenez-Fernandez, Silvia ;
Geem, Zong Woo .
ENERGIES, 2015, 8 (09) :9211-9265
[4]   Identifying Influential Nodes in Complex Networks Based on Local Neighbor Contribution [J].
Dai, Jinying ;
Wang, Bin ;
Sheng, Jinfang ;
Sun, Zejun ;
Khawaja, Faiza Riaz ;
Ullah, Aman ;
Dejene, Dawit Aklilu ;
Duan, Guihua .
IEEE ACCESS, 2019, 7 :131719-131731
[5]   DC Microgrids-Part I: A Review of Control Strategies and Stabilization Techniques [J].
Dragicevic, Tomislav ;
Lu, Xiaonan ;
Vasquez, Juan C. ;
Guerrero, Josep M. .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2016, 31 (07) :4876-4891
[6]  
Everett M.G., 2005, Models andMethods in Social Network Analysis, P57
[7]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[8]   Novel negative-definiteness conditions on the quadratic polynomial function with application to stability analysis of continuous time-varying delay systems [J].
He, Jing ;
Liang, Yan ;
Yang, Feisheng ;
Wei, Zhenwei .
ISA TRANSACTIONS, 2023, 135 :150-158
[9]   Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].
Jadbabaie, A ;
Lin, J ;
Morse, AS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001