DYNAMIC PROCESSES STABILITY ANALYSIS DESCRIBED BY LINEAR DIFFERENTIAL-DIFFERENCE SYSTEMS WITH LINEARLY INCREASING DELAY
Linear differential-difference systems of equations with linear-increasing delay are considered. The main result is coefficient sufficient conditions for asymptotic stability and instability. The conclusion of the equations of the mathematical model of the movement dynamics of the convoy during the march is analyzed in detail. The equations under consideration describe well the occurrence of emergency stops of the convoy on marching sections in mountainous terrain.