Stabilization for multi-group coupled models with dispersal by feedback control based on discrete-time observations in diffusion part |
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Authors: | Lu Wang Yong Ren Wensheng Yin |
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Institution: | 1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China;2. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China;3. School of Mathematics, Southeast University, Nanjing 211189, China |
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Abstract: | In this paper, we study the almost surely stabilization for a class of unstable multi-group coupled models with dispersal (MGMs, in short) by feedback control design based on discrete-time observations in diffusion part. Specifically, we show that the corresponding stochastically controlled system is almost surely exponentially stable when the stochastic MGM is almost surely exponentially stable within a duration of time. Finally, an example is given to illustrate the obtained theoretical results. |
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Keywords: | Corresponding author at: School of Science Beijing University of Civil Engineering and Architecture Beijing 100044 China |
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