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- W2062652034 abstract "Abstract 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. Keywords: Brownian motionMarkov switchingstochastic differential equationnoise feedbackpolynomial growth Acknowledgements The research of F. Wu was supported in part by the National Science Foundations of China (Grants No. 11001091 and 61134012) and in part by Program for New Century Excellent Talents in University. The research of Y. Shen was supported by the National Science Foundation of China (Grant No. 61134012)." @default.
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- W2062652034 date "2012-08-01" @default.
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- W2062652034 title "The asymptotic properties of the suppressed system by Brownian noise" @default.
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- W2062652034 doi "https://doi.org/10.1080/00207179.2012.677068" @default.
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