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https://doi.org/10.3389/fsufs.2021.609097

has been cited by the following article:

• TITLE: Sustainable Ecosystem Management via H∞-Control Theory of Stochastic Systems

  AUTHORS: Michael Park

  KEYWORDS: Galerkin Method, Feedback Design of Ecosystems, Hamilton-Jacobi Equation, Predator-Prey Model, Sustainable Ecosystem, Nonlinear Control

  JOURNAL NAME: Journal of Geoscience and Environment Protection, Vol.11 No.2, February 21, 2023

  ABSTRACT: In this paper, aiming to provide accurate protocols for management of sustainable ecosystems, a design methodology of H∞-controller for hunter-prey model under exposure to exogenous disturbance and stochastic noise is presented. Along the development, solution procedure of the stochastic Hamilton-Jacobi-Isaacs equation via Successive Galerkin’s Approximation is described. Utilizing the proposed solution methodology of Hamilton-Jacobi-Isaacs equation, H∞-controller of hunter-prey model was successfully designed. Robustness and performance against exogenous disturbance of the designed H∞-controller is validated and confirmed by numerical simulations including Monte-Carlo simulation by Simulink software on MATLAB.