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https://doi.org/10.1137/S0363012903423727

has been cited by the following article:

• TITLE: H∞-Feedback Control of Heparin-Controlled Blood Clotting Network for Cardiac Surgeries

  AUTHORS: Alexander W. Bae

  KEYWORDS: Gene Regulatory Network, GMA System, Galerkin Method, Feedback Design of Biomolecular Systems, Hamilton-Jacobi Equation, Nonlinear Control, Heparin-Controlled Blood Clotting Network

  JOURNAL NAME: Journal of Biosciences and Medicines, Vol.10 No.8, August 10, 2022

  ABSTRACT: This paper presents a solution methodology for H∞-feedback control design problem of Heparin controlled blood clotting network under the presence of stochastic noise. The formulaic solution procedure to solve nonlinear partial differential equation, the Hamilton-Jacobi-Isaacs equation with Successive Galrkin’s Approximation is sketched and validity is proved. According to Lyapunov’s theory, with solutions of the nonlinear PDEs, robust feedback control is designed. To confirm the performance and robustness of the designed controller, numerical and Monte-Carlo simulation results by Simulink software on MATLAB are provided.