TY - GEN
T1 - Stochastic input/output-to-state stability of switched nonlinear systems with stable and unstable subsystems
AU - Zhai, Dihua
AU - Kang, Yu
AU - Zhao, Ping
AU - Meng, Haofei
PY - 2012
Y1 - 2012
N2 - In this paper, the notions of stochastic input/output-to-state stability (SIOSS) and pth moment IOSS are introduced to stochastic nonlinear systems. As an extension, we also consider the IOSS property of switched stochastic nonlinear systems under average dwell-time switching signals, both when all constituent subsystems are IOSS in probability (in pth moment) and when only some of them are IOSS in probability (in pth moment) while some others are not. Moreover, the conclusions in this paper are also applicable for the analysis of pth ISS/SISS for switched systems. As the results, the corresponding Lyapunov-type sufficient criteria of pth moment IOSS and SIOSS are given. Finally, a simulation example is given to demonstrate the effectiveness of the proposed results.
AB - In this paper, the notions of stochastic input/output-to-state stability (SIOSS) and pth moment IOSS are introduced to stochastic nonlinear systems. As an extension, we also consider the IOSS property of switched stochastic nonlinear systems under average dwell-time switching signals, both when all constituent subsystems are IOSS in probability (in pth moment) and when only some of them are IOSS in probability (in pth moment) while some others are not. Moreover, the conclusions in this paper are also applicable for the analysis of pth ISS/SISS for switched systems. As the results, the corresponding Lyapunov-type sufficient criteria of pth moment IOSS and SIOSS are given. Finally, a simulation example is given to demonstrate the effectiveness of the proposed results.
KW - IOSS
KW - average dwell-time
KW - stable and unstable subsystems
KW - stochastic nonlinear systems
KW - switched systems
UR - http://www.scopus.com/inward/record.url?scp=84873556810&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84873556810
SN - 9789881563811
T3 - Chinese Control Conference, CCC
SP - 243
EP - 248
BT - Proceedings of the 31st Chinese Control Conference, CCC 2012
T2 - 31st Chinese Control Conference, CCC 2012
Y2 - 25 July 2012 through 27 July 2012
ER -