2000/09/12 by Bjorn Birnir, Björn Birnir, Birnir, Bjorn +3
Engineering · Mathematics · #35K40 #35K55 #49K20 #93B05 #93B27 #Computational Fluid Dynamics and Aerodynamics #Dynamical Systems (math.DS) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Plasma and Flow Control in Aerodynamics #math.DS #msc:35K40 #msc:35K55 #msc:49K20 #msc:93B05 #msc:93B27
paper · pdf · doi:10.48550/arxiv.math/0009114
6pages
arxiv created 2000/09/12 · openalex publication_date 2000/09/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The notions of basic controllability and basic control are defined using dynamical systems theory of partial differential equations. A quadratic optimal control of the linearized viscous Moore-Greitzer equation is presented and it is confirmed that stall is uncontrollable in this model. A basic control is constructed for the nonlinear viscous Moore-Greitzer equation which can control both surge and stall. Numerical simulations of the basic control are presented.