Geodesic
Finite-time boundedness and stabilization of switched linear systems
Kybernetika, Tome 46 (2010) no. 5, pp. 870-889.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, finite-time boundedness and stabilization problems for a class of switched linear systems with time-varying exogenous disturbances are studied. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to switched linear systems. Then, based on matrix inequalities, some sufficient conditions under which the switched linear systems are finite-time bounded and uniformly finite-time bounded are given. Moreover, to solve the finite-time stabilization problem, stabilizing controllers and a class of switching signals are designed. The main results are proven by using the multiple Lyapunov-like functions method, the single Lyapunov-like function method and the common Lyapunov-like function method, respectively. Finally, three examples are employed to verify the efficiency of the proposed methods.
Classification : 93A14, 93C10, 93D15, 93D21
Keywords: switched linear systems; finite-time boundedness; multiple Lyapunov-like functions; single Lyapunov-like function; common Lyapunov-like function 
@article{KYB_2010__46_5_a4,
     author = {Du, Haibo and Lin, Xiangze and Li, Shihua},
     title = {Finite-time boundedness and stabilization of switched linear systems},
     journal = {Kybernetika},
     pages = {870--889},
     publisher = {mathdoc},
     volume = {46},
     number = {5},
     year = {2010},
     mrnumber = {2778923},
     zbl = {1205.93076},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_5_a4/}
}
TY  - JOUR
AU  - Du, Haibo
AU  - Lin, Xiangze
AU  - Li, Shihua
TI  - Finite-time boundedness and stabilization of switched linear systems
JO  - Kybernetika
PY  - 2010
SP  - 870
EP  - 889
VL  - 46
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2010__46_5_a4/
LA  - en
ID  - KYB_2010__46_5_a4
ER  - 
%0 Journal Article
%A Du, Haibo
%A Lin, Xiangze
%A Li, Shihua
%T Finite-time boundedness and stabilization of switched linear systems
%J Kybernetika
%D 2010
%P 870-889
%V 46
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2010__46_5_a4/
%G en
%F KYB_2010__46_5_a4
Du, Haibo; Lin, Xiangze; Li, Shihua. Finite-time boundedness and stabilization of switched linear systems. Kybernetika, Tome 46 (2010) no. 5, pp. 870-889. http://geodesic.mathdoc.fr/item/KYB_2010__46_5_a4/