Аңдатпа
A stabilizing regulator is constructed for a nonlinear control system with a constant state matrix and a state-dependent input matrix. A regulator is designed by means of the State-Dependent Riccati Equation (SDRE) technique. The novelty of the work is reducing SDRE to the algebraic matrix Riccati equation with constant coefficients. That simplifies the proof of the asymptotic stability of a closed-loop system. The results are illustrated by the example of a mathematical model of a three-sector economic system, where the stabilization in the equilibrium neighborhood is made by means of investment strategies in the form of feedback control.