Title :
Finite-time stability and input-to-state stability of stochastic nonlinear systems
Author :
Yu, Kang ; Ping, Zhao
Author_Institution :
Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China
Abstract :
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.
Keywords :
asymptotic stability; nonlinear control systems; stochastic systems; FTGASiP; FTSISS; GKL functions; SNL; finite-time globally asymptotical stability in probability; finite-time stochastic input-to-state stability; stochastic nonlinear systems; Asymptotic stability; Educational institutions; Nonlinear systems; Robustness; Stability criteria; Vectors; FTSISS-Lyapunov function; Finite-time globally asymptotically stable in probability; Finite-time input-to-state stability; Stochastic nonlinear system;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
