Open AccessStabilisation for one‐sided Lipschitz non‐linear differential inclusions
Author(s) -
Cai Xiushan,
Lin Yuhang,
Hong Shuyue
Publication year - 2013
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.2013.0136
Subject(s) - differential inclusion , lipschitz continuity , control theory (sociology) , mathematics , differential (mechanical device) , exponential function , exponential stability , linear matrix inequality , matrix (chemical analysis) , linear system , exponential growth , nonlinear system , mathematical optimization , control (management) , mathematical analysis , computer science , engineering , physics , materials science , quantum mechanics , artificial intelligence , composite material , aerospace engineering
Stabilisation design methods for one‐sided Lipschitz non‐linear differential inclusions are considered in this study. Sufficient conditions of exponential stabilisation for the closed‐loop system are given by solving linear matrix inequalities. Two kinds of continuous control laws are designed such that the closed‐loop systems are exponentially stable at the origin, respectively. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique.