Open AccessEvent‐based synchronisation of linear discrete‐time dynamical networks
Author(s) -
Chen Michael Z. Q.,
Zhang Liangyin,
Su Housheng,
Li Chanying
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0595
Subject(s) - control theory (sociology) , event (particle physics) , state (computer science) , construct (python library) , mathematics , computer science , discrete time and continuous time , linear dynamical system , algebraic riccati equation , riccati equation , linear system , control (management) , algorithm , differential equation , mathematical analysis , artificial intelligence , physics , statistics , quantum mechanics , programming language
This study investigates the problem of event‐based synchronisation of linear discrete‐time dynamical networks. Leader‐following and leaderless synchronisations are achieved by a distributed event‐trigger strategy. It is shown that feedback control updating is unnecessary until an event is triggered. The combinational‐state variables and the Riccati equation are used to construct a Liapunov function and to design the event‐triggering conditions. Numerical examples are provided to illustrate the theoretical results.