Exponential stability of impulsive stochastic partial differential equations with delays

Dingshi Li and Xiaoming Fan

Statistics & Probability Letters, 2017, vol. 126, issue C, 185-192

Abstract: In this paper, we are concerned with the exponential stability problem of impulsive control stochastic partial differential equations with delays. By employing the formula for the variation of parameters and inequality technique, several criteria on exponential stability are derived and the exponential convergence rate is estimated. Some examples are given to illustrate the theoretical results and to show that the criteria can be applied to stabilize the continuous system with delays, which may be unstable.

Keywords: Impulsive control; Delays; Stochastic; Exponential stability (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.03.016

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