pth Moment stability of impulsive stochastic delay differential systems with Markovian switching |
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Authors: | Xiaotai Wu Wenbing Zhang Yang Tang |
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Affiliation: | 1. Department of Mathematics, Anhui Polytechnic University, Wuhu, Anhui 241000, PR China;2. Institute of Textiles and Clothing, Hong Kong Polytechnic University, Hong Kong, China;3. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150080, China;4. Institute of Physics, Humboldt University Berlin, Berlin 12489, Germany;5. Potsdam Institute for Climate Impact Research, Potsdam 14415, Germany |
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Abstract: | This paper is concerned with the pth moment stability of impulsive stochastic delay differential systems with Markovian switching. By using the Razumikhin-type method, some stability criteria are obtained, which can loosen the constraints of the existing results and thus reduce the conservativeness. Two examples are presented to demonstrate the usefulness of the proposed results. |
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