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

Content Provider	IET Digital Library
Author	Zhang, Wenbing Wang, Zidong Liu, Yurong Ding, Derui Alsaadi, Fuad E.
Abstract	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.
Starting Page	2299
Ending Page	2306
Page Count	8
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 14, Sep (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/14
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.1517
Journal	IET Control Theory & Applications
Publisher Date	2017-05-26
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Combinatorial Mathematics Contradiction Method Convex Hull Coupling Strength Decomposition Method Differential Equation (numerical Analysis) Directed Graph Directed Network Topology Discrete Control System Distributed Control Distributed Sampled-data Containment Control Problem Eigen Values And Eigen Function Fixed Topology Leader-following System Linear Algebra Linear Multiagent System Linear System Lyapunov Function Lyapunov Method Matrix Decomposition Multiple Leaders Multivariable Control System Network Theory (Graph) Numerical Analysis Sampled Data System Set Theory Simultaneous Stability Analysis Stability Stability in Control Theory Sufficient Condition System Dynamics Topology Matrix EigenValue Undirected Network Topology
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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