TY - JOUR
T1 - Stability of singular stochastic systems with Markovian switching
AU - Huang, Lirong
AU - Mao, Xuerong
PY - 2011/2
Y1 - 2011/2
N2 - In recent years, singular hybrid systems have received considerable attention. However, few results are concerned with stability of singular hybrid stochastic systems. Based on a stability result for singular hybrid systems, this note studies mean-square stability of singular hybrid stochastic systems. It is found that the diffusions and the Markov chain may play important roles in system analysis in mean-square sense. As a special case, a criterion for mean-square stability of hybrid stochastic systems is developed by the frequency domain approach.
AB - In recent years, singular hybrid systems have received considerable attention. However, few results are concerned with stability of singular hybrid stochastic systems. Based on a stability result for singular hybrid systems, this note studies mean-square stability of singular hybrid stochastic systems. It is found that the diffusions and the Markov chain may play important roles in system analysis in mean-square sense. As a special case, a criterion for mean-square stability of hybrid stochastic systems is developed by the frequency domain approach.
KW - Markovian switching
KW - stochastic systems
KW - singular systems
KW - mean-square stability
UR - http://www.scopus.com/inward/record.url?scp=79951595289&partnerID=8YFLogxK
UR - http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5605655&tag=1
U2 - 10.1109/TAC.2010.2088850
DO - 10.1109/TAC.2010.2088850
M3 - Article
SN - 0018-9286
VL - 56
SP - 424
EP - 429
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 2
ER -