Discrete Analogue of a Linear Differential Model with Delay of the Mach Number Dynamics and its Solution

The paper considers a discretization of a differential wind-tunnel model of the Mach number dynamics with a time-delay. It is shown that the homogeneous part of the linear discrete system of equations derived is weakly delayed. The nonhomogeneous discrete system with delay is transformed by specific substitutions into a non-delayed one with an appropriate dimension, and is solved. Then a solution of an initial nonhomogeneous discrete system is found. If the discretization step is sufficiently small, the resulting discrete model is asymptotically stable.