Consensus Conditions for a Class of Fractional-Order Nonlinear Multiagent Systems with Constant and Time-Varying Time Delays

被引:0
作者
Zhang, Xiaorong [1 ]
Shi, Min [2 ]
机构
[1] Jiangsu Maritime Inst, Sch Econ & Management, Nanjing 211170, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210023, Peoples R China
关键词
LEADER-FOLLOWING CONSENSUS; CONTAINMENT CONTROL; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; AGENTS; COORDINATION; NETWORKS;
D O I
10.1155/2021/7859105
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The consensus problem for a class of fractional-order nonlinear multiagent systems with a distributed protocol containing input time delay is investigated in this paper. Consider both cases of constant time delay and time-varying delay, the delay-independent consensus conditions are obtained to achieve the consensus of the systems, respectively, by adopting the linear matrix inequality (LMI) methods and stability theory of fractional-order systems. As illustrated by the numerical examples, the proposed theoretical results work well and accurately.
引用
收藏
页数:9
相关论文
共 34 条
[1]   Adaptive synchronization of Chua's circuits with fully unknown parameters [J].
Agiza, HN ;
Matouk, AE .
CHAOS SOLITONS & FRACTALS, 2006, 28 (01) :219-227
[2]   Stability analysis of fractional order time-delay systems: constructing new Lyapunov functions from those of integer order counterparts [J].
Badri, Vahid ;
Tavazoei, Mohammad Saleh .
IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (15) :2476-2481
[3]   FRACTIONAL CALCULUS - A DIFFERENT APPROACH TO THE ANALYSIS OF VISCOELASTICALLY DAMPED STRUCTURES [J].
BAGLEY, RL ;
TORVIK, PJ .
AIAA JOURNAL, 1983, 21 (05) :741-748
[4]  
Boyd S, 1994, LINEAR MATRIX INEQUA
[5]   Distributed Coordination of Networked Fractional-Order Systems [J].
Cao, Yongcan ;
Li, Yan ;
Ren, Wei ;
Chen, YangQuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2010, 40 (02) :362-370
[6]   Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties [J].
Chen, Liping ;
Wu, Ranchao ;
He, Yigang ;
Yin, Lisheng .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 :274-284
[7]   Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems [J].
Duarte-Mermoud, Manuel A. ;
Aguila-Camacho, Norelys ;
Gallegos, Javier A. ;
Castro-Linares, Rafael .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :650-659
[8]  
Hilfer R., 2001, APPL FRACTIONAL CALC
[9]   Leader-following consensus for a class of high-order nonlinear multi-agent systems [J].
Hua, Chang-Chun ;
You, Xiu ;
Guan, Xin-Ping .
AUTOMATICA, 2016, 73 :138-144
[10]   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