TY - JOUR
T1 - On input-to-state stability of stochastic nonlinear systems with Markovian jumping parameters
AU - Zhao, Ping
AU - Kang, Yu
AU - Zhai, Dihua
PY - 2012/4/1
Y1 - 2012/4/1
N2 - In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.
AB - In this article, the input-to-state stability (ISS) properties of stochastic nonlinear systems with Markovian jump parameters are considered. Firstly, the notions of stochastic ISS, e λt-weighted (integral) ISS in mean and in the pth mean are introduced. Then by the Lyapunov-like function method, some corresponding criteria are provided. Lastly, a simulation example is provided to illustrate the effectiveness of our results.
KW - Markovian jump parameter
KW - e -weighted (integral)
KW - input-to-state stability
KW - stochastic input-to-state stability
KW - stochastic nonlinear system
UR - https://www.scopus.com/pages/publications/84859735231
U2 - 10.1080/00207179.2011.651749
DO - 10.1080/00207179.2011.651749
M3 - Article
AN - SCOPUS:84859735231
SN - 0020-7179
VL - 85
SP - 343
EP - 349
JO - International Journal of Control
JF - International Journal of Control
IS - 4
ER -