Asymptotic convergence of the solutions of a discrete system with delays

Convergence of the solution of an impulsive differential equation with piecewise constant argument

“…They showed that some nonimpulsive systems can be stabilized by imposition of impulsive controls. Lately, the problem of the asymptotic constancy of solutions was studied for some functional differential equations [6,8,11,12,[15][16][17][18][19][20][21][22][23]41] and as well the same problem has been considered for some impulsive delay differential equations [10,30]. So, due to the practical reasons and the papers mentioned above one can be motivated to deal with the problem of asymptotic constancy of solutions of an impulsive differential equation with piecewise constant arguments.…”