A note on attraction and stability of neutral stochastic delay differential equations with Markovian switching |
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| Authors: | Yinfang Song Quan Yin Yi Shen |
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| Affiliation: | 1. School of Information and Mathematics, Yangtze University, Jingzhou, 434023, China;2. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;3. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, Chinasongyinfang2006@sina.com;5. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;6. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China |
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| Abstract: | This paper is concerned with neutral stochastic delay differential equations with Markovian switching (NSDDEs-MS). A kind of ψ ??function is introduced and some criteria on the attractor for the product of the ψ ??function are obtained. By the new criteria, the almost sure stability with the general decay rate of NSDDEs-MS could be examined, including the exponential stability and the polynomial stability. Finally, an example is provided to illustrate the applications of our results clearly. |
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