Finite-time stability theorem of stochastic nonlinear systems

In this note, authors reply the comments on our previous work [Chen and Jiao, `finite-time stability theorem of stochastic nonlinear systems', Automatica, 46(2010), 2105-2108], and correct several existing errors in our previous paper. It is shown that the results presented there still hold after corrections. Key words: Finite-time stability; Stochastic nonlinear systems; Stochastic settling time function; Lyapunov method. Authors thank Yin and Khoo for their comments in [2] where they suggest the use of traditional definition: inf{} = +, and also point out some mistakes in the

• Type: Journal
• Year: 2010
• Where: AUTOMATICA
• Authors: Weisheng Chen, L. C. Jiao
• Keywords: Artificial Intelligence, AUTOMATICA 2010, Finite-time Stability, Finite-time Stability Theorem, Stochastic Nonlinear Systems