Properties of Composite Laplacian Quadratics and Their Applications in Consensus of Linear Differential Inclusions

被引：11
作者：
Chen, Fei [1 ]
Xiang, Linying [1 ]
Ren, Wei [2 ]
机构：
[1] Xiamen Univ, Dept Automat, Xiamen 361005, Peoples R China
[2] Univ Calif Riverside, Dept Elect & Comp Engn, Riverside, CA 92521 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 08期
基金：
美国国家科学基金会;
关键词：
Composite Laplacian quadratics; consensus; linear differential inclusion; multi-agent system; MULTIAGENT SYSTEMS; LYAPUNOV FUNCTIONS; SYNCHRONIZATION; NETWORKS;
D O I：
10.1109/TAC.2015.2491739
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 technical note introduces a non-quadratic function that is defined in terms of multiple Laplacian quadratics, called the function of composite Laplacian quadratics. The function is mainly used for control synthesis and analysis of multiagent systems. Some important properties of the function are studied. In particular, the one-level-set dissipation property is established, and the gradient of the function is derived. The function is further applied to solve the consensus problem of linear differential inclusions (LDIs). Finally, a numerical example is given to verify the validity of the derived results.
引用
收藏
页码：2269 / 2275
页数：7
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