The asymptotic properties of the suppressed system by Brownian noise

Rongcheng Lin, Fuke Wu, Yi Shen

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3 Citations (Scopus)


In the previous work by the second author, it was shown that the polynomial Brownian noise may suppress the potential explosion of the nonlinear system without the linear growth condition or the one-sided linear growth condition and the linear Brownian noise may stabilise this suppressed system. This article is a continuation of our previous paper and considers the asymptotic properties of the suppressed system. These asymptotic properties show that the suppressed system by polynomial Brownian noise will grow with at most polynomial speed.
Original languageEnglish
Pages (from-to)1112 - 1120
Number of pages9
JournalInternational Journal of Control
Issue number8
Publication statusPublished - 2012
Externally publishedYes

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