Distributed sampled-data containment control of linear multi-agent systems with fixed topology

作者：Zhang, Wenbing; Wang, Zidong; Liu, Yurong^*; Ding, Derui; Alsaadi, Fuad E.

来源：IET Control Theory and Applications, 2017, 11(14): 2299-2306.

DOI：10.1049/iet-cta.2016.1517

• distributed control
• sampled data systems
• linear systems
• directed graphs
• network theory (graphs)
• stability
• differential equations
• Lyapunov methods
• eigenvalues and eigenfunctions
• set theory
• matrix decomposition
• distributed sampled-data containment control problem
• linear multiagent systems
• fixed topology
• multiple leaders
• undirected network topology
• directed network topology
• decomposition method
• simultaneous stability analysis
• contradiction method
• Lyapunov function

This study investigates the sampled-data containment control problem for linear multi-agent systems with multiple leaders under undirected or directed network topology. First, by means of the decomposition method, the containment control problem is transformed into the simultaneous stability analysis issue of certain subsystems. Then, the solution of a class of differential equations, which plays a key role for the addressed problem, is exploited by using the contradiction method. Together with a novel Lyapunov function, sufficient conditions are established to guarantee that all the followers move into the convex hull spanned by the leaders. The proposed results are dependent on the information of the system dynamics, the coupling strength as well as the eigenvalues of topology matrix. Furthermore, the established results are specialised to both the leader-following case and the traditional consensus case. Finally, simulations are given to illustrate the theoretical results derived in this study.

• 出版日期2017-9-14
• 单位扬州大学; 上海理工大学