Stochastic input/output-to-state stability of switched nonlinear systems with stable and unstable subsystems
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 Lyapunovtype sufficient criteria of pth moment IOSS and SIOSS are given. Finally, a simulation example is given to demonstrate the effectiveness of the proposed results.
IOSS stochastic nonlinear systems switched systems average dwell-time stable and unstable subsystems
ZHAI Dihua KANG Yu ZHAO Ping MENG Haofei
Department of Automation, University of Science and Technology of China, Hefei, Anhui 230027, P.R. C School of Electrical Engineering, University of Jinan, Jinan 250022, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
243-248
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）