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Stabilization for multi-group coupled models with dispersal by feedback control based on discrete-time observations in diffusion part
Authors:Lu Wang  Yong Ren  Wensheng Yin
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
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.
Keywords:Corresponding author at: School of Science  Beijing University of Civil Engineering and Architecture  Beijing 100044  China  
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