Open AccessFinite-time H∞ synchronization control for coronary artery chaos system with input and state time-varying delays
Author(s) -
Charuwat Chantawat,
Thongchai Botmart
Publication year - 2022
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0266706
Subject(s) - synchronization (alternating current) , control theory (sociology) , mathematics , controller (irrigation) , matlab , upper and lower bounds , multiple integral , state (computer science) , stability (learning theory) , computer science , control (management) , topology (electrical circuits) , mathematical analysis , algorithm , combinatorics , artificial intelligence , machine learning , agronomy , biology , operating system
This is the first time for studying the issue of finite-time H ∞ synchronization control for the coronary artery chaos system (CACS) with input and state time-varying delays. Feedback control is planned for finite-time of synchronization CACS. By constructing the Lyapunov-Krasovskii functional (LKF) is derived for finite-time stability criteria of CACS with interval and continuous differential time-varying delays. We use Wirtinger-based integral inequality to evaluate the upper bound of the time derivative of the LKF. We apply the single integral form and the double integral form of the integral inequality, according to Wirtinger-based integral inequality, to ensure that the feedback controller for synchronization has good performance with disturbance and time-varying delay. The new sufficient finite-time stability conditions have appeared in the form of linear matrix inequalities (LMIs). Numerical checks can be performed using the LMI toolbox in MATLAB. A numerical example is presented to demonstrate the success of the proposed methods. This resultant is less conservative than the resultants available in the previous works.