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.
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