Stabilization for multi-group coupled models with dispersal by feedback control based on discrete-time observations in diffusion part

摘要

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. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.