Correspondence: Comments on Finite-time stability theorem of stochastic nonlinear systems [Automatica 46 (2010) 2105-2108]

作者: Juliang Yin , Suiyang Khoo

DOI: 10.1016/J.AUTOMATICA.2011.02.052

关键词: Class (set theory)Lyapunov functionStability (learning theory)Nonlinear systemChenCorollaryMathematicsStability theoremApplied mathematicsDiscrete mathematicsPoint (geometry)

摘要: In a recent paper (Chen & Jiao, 2010), new concept of finite-time stability, called stochastically attractiveness, is defined for class stochastic nonlinear systems. A theorem and corollary on the stability are also proved based Lyapunov functions. this comment, we will point out that there exist some errors which fundamental to main result paper.

参考文章(2)
Hua Deng, M. Krstic, R.J. Williams, Stabilization of stochastic nonlinear systems driven by noise of unknown covariance IEEE Transactions on Automatic Control. ,vol. 46, pp. 1237- 1253 ,(2001) , 10.1109/9.940927