One D-SDRE regulator for weakly nonlinear discrete statedependent coefficients control systems

Here the stabilizing regulator for quasilinear discrete state-dependent coefficients control systems is constructed based on the formal asymptotic approximation of an arbitrary order of the state-dependent Riccati equation solution. The stability of the corresponding closed-loop system is proved using the Lyapunov functions method and the series expansion of the system and criterion matrices.