Open AccessExponential synchronisation of complex networks with delays and perturbations via impulsive and adaptive control
Author(s) -
Zhang Wanli,
Li Chuandong,
Yang Shiju,
Yang Xinsong
Publication year - 2019
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.2018.5889
Subject(s) - control theory (sociology) , lyapunov function , exponential function , adaptive control , computer science , controller (irrigation) , norm (philosophy) , mathematics , control (management) , law , nonlinear system , artificial intelligence , mathematical analysis , physics , quantum mechanics , political science , agronomy , biology
This study considers exponential synchronisation of complex networks (CNs) with time‐varying delays and non‐identical perturbations by using hybrid control schemes. Quantised adaptive control and quantised impulsive control are combined, and 1‐norm‐based analytical techniques are wielded. By using hybrid quantised controller, applying 1‐norm‐based analytical methods, and designing new Lyapunov function, sufficient conditions on exponential synchronisation are derived. These synchronisation criteria can guarantee that the considered CNs synchronise with given goal dynamics. Compared with some existing results, the authors results are more general and practical. Numerical simulations are exploited to validate the theoretical results.