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Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach

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Abstract

Comparison principles for general impulsive stochastic functional differential systems are established. Employing the comparison principles and the theory of differential inequalities, stability and instability, involving two measures, of impulsive stochastic functional differential systems are investigated. Several stability and instability criteria are obtained, and two examples are also given to illustrate our results.

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Authors and Affiliations

  1. Institute of System Engineering, South China University of Technology, Guangzhou, 510640, China

    FengQi Yao & FeiQi Deng

  2. School of Electrical Engineering and Information, Anhui University of Technology, Maanshan, 243032, China

    FengQi Yao

Authors
  1. FengQi Yao
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  2. FeiQi Deng
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Correspondence to FengQi Yao.

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Yao, F., Deng, F. Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach. Sci. China Inf. Sci. 55, 1313–1322 (2012). https://doi.org/10.1007/s11432-012-4599-2

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  • DOI: https://doi.org/10.1007/s11432-012-4599-2

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