TY - JOUR
T1 - Conditions for stability of linear continuous Markovian switching singular systems
AU - Xiao, Xiaoqing
AU - Zhou, Lei
AU - Ho, Daniel W.C.
AU - Lu, Guoping
PY - 2014/2/13
Y1 - 2014/2/13
N2 - This study addresses the stability problem for linear continuous-time Markovian switching singular systems. Based on a refined description for jumps of the system states at the switching instants, sufficient conditions for exponential stability in the mean-square sense of the Markovian switching singular system are obtained by means of multiple Lyapunov function method. The obtained results present a new analysis of the impact for switching law-induced state jump on the stability property of the considered system. Numerical examples are presented to illustrate the effectiveness of the proposed approach. © The Institution of Engineering and Technology 2014.
AB - This study addresses the stability problem for linear continuous-time Markovian switching singular systems. Based on a refined description for jumps of the system states at the switching instants, sufficient conditions for exponential stability in the mean-square sense of the Markovian switching singular system are obtained by means of multiple Lyapunov function method. The obtained results present a new analysis of the impact for switching law-induced state jump on the stability property of the considered system. Numerical examples are presented to illustrate the effectiveness of the proposed approach. © The Institution of Engineering and Technology 2014.
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84893972743&origin=recordpage
U2 - 10.1049/iet-cta.2013.0469
DO - 10.1049/iet-cta.2013.0469
M3 - RGC 21 - Publication in refereed journal
SN - 1751-8644
VL - 8
SP - 168
EP - 174
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
IS - 3
ER -