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    Uniform stability of stochastic impulsive systems: A new comparison method

    231785_231785.pdf (98.51Kb)
    Access Status
    Open access
    Authors
    Xu, Honglei
    Zhou, Guanglu
    Caccetta, Louis
    Teo, Kok Lay
    Date
    2015
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Xu, H. and Zhou, G. and Caccetta, L. and Teo, K.L. 2015. Uniform stability of stochastic impulsive systems: A new comparison method. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms. 22 (1): pp. 43-52.
    Source Title
    Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
    Additional URLs
    http://online.watsci.org/contents2015/v22n1b.html
    ISSN
    1492-8760
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/12371
    Collection
    • Curtin Research Publications
    Abstract

    This paper studies uniform stability problems of stochastic impulsive systems by using a new comparison method. We firstly establish a comparison principle between the stochastic impulsive system and its scalar comparison system. Based on the obtained comparison result, uniform stability and uniform asymptotic stability of stochastic impulsive systems are established by analyzing those of comparison systems. Finally, a numerical example of a power system with random perturbations is presented to illustrate our results.

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