TY - JOUR
T1 - Descriptor discrete-time systems with random abrupt changes
T2 - Stability and stabilisation
AU - Boukas, E. K.
AU - Xia, Y.
PY - 2008/8
Y1 - 2008/8
N2 - This paper deals with the class of linear discrete-time systems with random abrupt changes also known as class of Markovian jump singular systems. The problems of stochastic stability and the stochastic stabilisation (using state-feedback control and static output feedback control) are tackled. Conditions in the LMI setting to design the appropriate gains of the controllers are developed. It is shown that all the addressed problems can be solved if the corresponding developed linear matrix inequalities (LMIs) are feasible. Numerical examples are employed to show the usefulness of the proposed results.
AB - This paper deals with the class of linear discrete-time systems with random abrupt changes also known as class of Markovian jump singular systems. The problems of stochastic stability and the stochastic stabilisation (using state-feedback control and static output feedback control) are tackled. Conditions in the LMI setting to design the appropriate gains of the controllers are developed. It is shown that all the addressed problems can be solved if the corresponding developed linear matrix inequalities (LMIs) are feasible. Numerical examples are employed to show the usefulness of the proposed results.
KW - Descriptor systems
KW - Discrete-time linear systems
KW - Linear matrix inequality
KW - Singular systems
KW - State feedback control
KW - Static output feedback control
KW - Stochastic stabilisability
KW - Stochastic stability
KW - Systems with random abrupt changes
UR - http://www.scopus.com/inward/record.url?scp=46149088295&partnerID=8YFLogxK
U2 - 10.1080/00207170701769822
DO - 10.1080/00207170701769822
M3 - Article
AN - SCOPUS:46149088295
SN - 0020-7179
VL - 81
SP - 1311
EP - 1318
JO - International Journal of Control
JF - International Journal of Control
IS - 8
ER -