TY - GEN
T1 - Exact detectability of linear discrete-time time-varying stochastic systems
AU - Zhang, Weihai
AU - Zheng, Wei Xing
AU - Sheng, Li
PY - 2014
Y1 - 2014
N2 - This paper mainly studies exact detectability of linear discrete-time time-varying stochastic systems. Some new concepts such as K∞-exact detectability, KWFT-exact detectability, KFT -exact detectability and KN-exact detectability are introduced. Some nice properties of these new concepts are derived and their inherent relationship are also discussed. As an application, a Lyapunov-type theorem associated with generalized Lyapunov equations and exponential stability in mean square sense is presented under KN-exact detectability.
AB - This paper mainly studies exact detectability of linear discrete-time time-varying stochastic systems. Some new concepts such as K∞-exact detectability, KWFT-exact detectability, KFT -exact detectability and KN-exact detectability are introduced. Some nice properties of these new concepts are derived and their inherent relationship are also discussed. As an application, a Lyapunov-type theorem associated with generalized Lyapunov equations and exponential stability in mean square sense is presented under KN-exact detectability.
KW - discrete-time systems
KW - linear time invariant systems
UR - http://handle.uws.edu.au:8081/1959.7/uws:29091
UR - http://ccc.amss.ac.cn/2014/
U2 - 10.1109/ChiCC.2014.6896524
DO - 10.1109/ChiCC.2014.6896524
M3 - Conference Paper
SN - 9789881563842
SP - 9048
EP - 9053
BT - Proceedings of 2014 33rd Chinese Control Conference (CCC 2014), Nanjing, China, 28-30 July 2014
PB - IEEE
T2 - Chinese Control Conference
Y2 - 28 July 2014
ER -