2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59917The 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.6pagesDynamical Systems49K20, 93B05, 93B27, 35K40, 35K55text