Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

被引：5
作者：
Dai, Jiashu [1 ]
Yang, Chuanhai [2 ]
Yan, Xu [2 ]
Wang, Jiuru [2 ]
Zhu, Kongwei [2 ]
Yang, Chengdong [2 ]
机构：
[1] Anhui Polytech Univ, Sch Comp & Informat, Wuhu 241000, Peoples R China
[2] Linyi Univ, Sch Informat Sci & Technol, Linyi 276005, Peoples R China
来源：
IEEE ACCESS | 2022年 / 10卷
关键词：
Delays; Delay effects; Symmetric matrices; Consensus control; Numerical models; Mathematical models; Licenses; Consensus; multi-agent systems; LMIs; Lyapunov; partial integro-differential equations; PARTIAL INTEGRODIFFERENTIAL EQUATION; DISTRIBUTED-PARAMETER MODELS; SYNCHRONIZATION; STABILITY;
D O I：
10.1109/ACCESS.2022.3153078
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.
引用
收藏
页码：21211 / 21218
页数：8
相关论文
共 58 条
  • [1] Numerical Solution of Diffusion and Reaction-Diffusion Partial Integro-Differential Equations
    Aziz, Imran
    Khan, Imran
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (06)
  • [2] Bahuguna D, 2008, ELECTRON J QUAL THEO, P1
  • [3] Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with infinite delay
    Bahuguna, D.
    Sakthivel, R.
    Chadha, A.
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2017, 35 (01) : 63 - 88
  • [4] Britton NF., 1986, REACTION DIFFUSION E
  • [5] H∞ Containment Control of Multiagent Systems Under Event-Triggered Communication Scheduling: The Finite-Horizon Case
    Chen, Wei
    Ding, Derui
    Ge, Xiaohua
    Han, Qing-Long
    Wei, Guoliang
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (04) : 1372 - 1382
  • [6] Consensus control via iterative learning for distributed parameter models multi-agent systems with time-delay
    Dai, Xisheng
    Wang, Cun
    Tian, Senping
    Huang, Qingnan
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (10): : 5240 - 5259
  • [7] Spatial PID consensus controllers for distributed filters of distributed parameter systems
    Demetriou, Michael A.
    [J]. SYSTEMS & CONTROL LETTERS, 2014, 63 : 57 - 62
  • [8] Design of consensus and adaptive consensus filters for distributed parameter systems
    Demetriou, Michael A.
    [J]. AUTOMATICA, 2010, 46 (02) : 300 - 311
  • [9] Robust Output Regulation by State Feedback Control for Coupled Linear Parabolic PIDEs
    Deutscher, Joachim
    Kerschbaum, Simon
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (05) : 2207 - 2214
  • [10] Backstepping Control of Coupled Linear Parabolic PIDEs With Spatially Varying Coefficients
    Deutscher, Joachim
    Kerschbaum, Simon
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 63 (12) : 4218 - 4233
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