Open AccessFinite‐time stabilisation for a class of time‐delayed Markovian jumping systems with conic non‐linearities
Author(s) -
Nie Rong,
He Shuping,
Luan Xiaoli
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.2018.5489
Subject(s) - conic section , control theory (sociology) , mathematics , jumping , class (philosophy) , controller (irrigation) , markov process , computer science , control (management) , physiology , statistics , geometry , artificial intelligence , biology , agronomy
The finite‐time stabilisation for a class of time‐delayed Markovian jumping systems with conic nonlinearities is studied. The authors aim to design a suitable control law to stabilise the closed‐loop system during a specified finite time. An appropriate Lyapunov–Krasovskii functional method is given to ensure the existence of finite‐time stabilisation controller and the relevant sufficient conditions have been formulated in the form of linear matrix inequalities. Finally, a simulation example is given to show the effectiveness of the proposed design approach.