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

fYear

2012

fDate

25-27 July 2012

Firstpage

1529

Lastpage

1534

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390168