Open AccessStability analysis of impulsive switched singular systems
Author(s) -
Feng Guizhen,
Cao Jinde
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.2013.1142
Subject(s) - control theory (sociology) , exponential stability , lyapunov function , mathematics , algebraic number , exponential function , stability (learning theory) , controller (irrigation) , computer science , control (management) , mathematical analysis , artificial intelligence , machine learning , physics , quantum mechanics , nonlinear system , agronomy , biology
This study investigates the exponential stability problems of singular impulsive switched systems. Using the switched Lyapunov function method and algebraic inequality, sufficient conditions are expressed as arbitrary and conditioned impulsive switching has been obtained. In addition, with the introduction of the impulsive controller, several exponential stability criteria are derived when the impulsive controllers are stabilising. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed criteria.