Title :
Stability analysis of impulsive switched singular systems
Author :
Guizhen Feng ; Jinde Cao
Author_Institution :
Sch. of Autom., Southeast Univ., Nanjing, China
Abstract :
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.
Keywords :
Lyapunov methods; asymptotic stability; stability criteria; time-varying systems; algebraic inequality; arbitrary conditioned impulsive switching; exponential stability criteria; impulsive controller stabilisation; impulsive switched singular systems; sufficient conditions; switched Lyapunov function method;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2013.1142