Stability analysis of swarms with interaction time delays

被引：10
作者：
Liu, Qun [1 ]
Wang, Lanfen [1 ]
Liao, Xiaofeng [2 ]
机构：
[1] ChongQing Univ Posts & Telecommun, Coll Comp Sci & Technol, Chongqing 400065, Peoples R China
[2] Chongqing Univ, Coll Comp Sci & Technol, Chongqing 400030, Peoples R China
来源：
INFORMATION SCIENCES | 2012年 / 192卷
基金：
中国国家自然科学基金;
关键词：
Collective behavior; Time delays; Environment profiles; Aggregation; Swarms; BEHAVIOR; MODEL;
D O I：
10.1016/j.ins.2011.04.040
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 investigates the collective behavior of a general swarm model with communication time delays under different environment profiles, and the complex dynamic behavior of the delayed swarm model along a plane and a quadratic attractant/repellent profile are analyzed respectively too. It turns out that the swarm members can eventually converge to a finite region under certain conditions and the time delay plays an important role in the dynamic behavior of swarms. Finally numerical simulation results indicate that our theoretical analysis is correct. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：244 / 254
页数：11
相关论文
共 24 条
[1]   Collective behavior of interacting self-propelled particles [J].
Czirók, A ;
Vicsek, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 281 (1-4) :17-29
[2]   Stability analysis of social foraging swarms [J].
Gazi, V ;
Passino, KM .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01) :539-557
[3]  
Gazi V, 2002, P AMER CONTR CONF, V1-6, P1819, DOI 10.1109/ACC.2002.1023831
[4]   Stability analysis of swarms [J].
Gazi, V ;
Passino, KM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (04) :692-697
[5]  
Gazi V, 2002, IEEE DECIS CONTR P, P2842, DOI 10.1109/CDC.2002.1184277
[6]  
GAZI V, 2002, P C DEC CONTR LAS VE, P114
[7]  
Grunbaum Daniel, 1994, Lecture Notes in Biomathematics, V100, P296
[8]  
JIN K, 1994, IEEE INT CONF ROBOT, P1033, DOI 10.1109/ROBOT.1994.351221
[9]   A decentralized approach to formation maneuvers [J].
Lawton, JRT ;
Beard, RW ;
Young, BJ .
IEEE TRANSACTIONS ON ROBOTICS AND AUTOMATION, 2003, 19 (06) :933-941
[10]   Stability analysis of swarms with general topology [J].
Li, Wei .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (04) :1084-1097
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