Interval stability of time-varying two-dimensional hierarchical discrete-time multi-agent systems

被引：9
作者：
Xiong, Wenjun [1 ,2 ,3 ]
Hayat, Tasawar [4 ,5 ]
Cao, Jinde [1 ,2 ,5 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing, Jiangsu, Peoples R China
[2] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing, Jiangsu, Peoples R China
[3] Southwest Petr Univ, Coll Sci, Dept Math, Chengdu, Peoples R China
[4] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[5] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah, Saudi Arabia
来源：
IET CONTROL THEORY AND APPLICATIONS | 2015年 / 9卷 / 01期
基金：
中国国家自然科学基金;
关键词：
multi-agent systems; stability; multidimensional systems; time-varying systems; discrete time systems; interval stability; time-varying two-dimensional hierarchical discrete-time multiagent systems; mathematical model design; hierarchical structure; time-varying structure; time-invariant multiagent systems; stability analysis; time-invariant system stability; ROBUST STABILIZATION; CONSENSUS; SUBJECT;
D O I：
10.1049/iet-cta.2014.0893
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 study investigates the stability of time-varying two-dimensional hierarchical discrete-time multi-agent systems. The first objective is to design mathematical models to present the hierarchical and time-varying structure of two-dimensional multi-agent systems. Based on the hierarchical structure, the interval stability of time-invariant multi-agent systems can be obtained to guarantee the stability analysis of time-varying multi-agent systems. Then, a simple condition is given to achieve the stability of time-invariant systems. Finally, simulation results are given to illustrate the usefulness of the developed criteria.
引用
收藏
页码：114 / 119
页数：6
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