Finite-time stability and input-to-state stability of stochastic nonlinear systems
In this paper, finite-time globally asymptotical stability in probability (FTGASiP) and finite-time stochastic input-tostate stability (FTSISS) for stochastic nonlinear (SNL) systems are investigated. For the study of FTGASiP, there is a generalized KL (GKL) function in the definition which we considered. Correspondingly, based on this definition, some sufficient conditions are provided for SNL systems. Further more, the definition of FTSISS is introduced and corresponding criterion is presented for SNL systems. To prove the results of the above, some lemmas about GKL functions and their properties are provided. Finally, some simulation examples are given to demonstrate the effectiveness of our results.
Stochastic nonlinear system Finite-time input-to-state stability Finite-time globally asymptotically stable in probability FTSISS-Lyapunov function
KANG Yu ZHAO Ping
Department of Automation, University of Science and Technology of China, Hefei 230026, Anhui, P. R. 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
1529-1534
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）