Swarm Stability Analysis of Nonlinear Dynamical Multi-Agent Systems via Relative Lyapunov Function

被引：47
作者：
Cai, Ning [1 ]
Cao, Jun-Wei [2 ]
Ma, Hai-Ying [3 ]
Wang, Cai-Xia [1 ]
机构：
[1] Northwest Univ Nationalities, Sch Elect Engn, Lanzhou 730030, Peoples R China
[2] Tsinghua Univ, Res Inst Informat Technol, Beijing 100084, Peoples R China
[3] Northwest Univ Nationalities, Sch Econ, Lanzhou 730030, Peoples R China
来源：
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2014年 / 39卷 / 03期
关键词：
Swarm stability; Multi-agent system; Graph; Relative Lyapunov function; CONSENSUS PROBLEMS; OUTPUT CONSENSUS; SYNCHRONIZATION; NETWORKS;
D O I：
10.1007/s13369-013-0800-1
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Conditions for swarm stability of nonlinear high-order multi-agent systems are analyzed based on the idea of space transformation. Swarm stability can be assured by sufficient connectivity of graph topology and dissipative property regulated by relative Lyapunov function, with two independent variables. The problems addressed are general, since the models concerned can be time-varying or heterogeneous.
引用
收藏
页码：2427 / 2434
页数：8
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