On convergence of a sequence of Lyapunov functions defined by a class f high-dimensional systems of differential equations

In the paper a delay differential equation and a sequence of high-dimensional systems of ordinary differential equations are considered. The limit of a sequence of Lyapunov functions is studied, and estimates for stabilization rates of solutions to the delay differential equation to zero as $t \to \infty$ are established.

УДК 517.9

Keywords: delay differential equation, high-dimensional system of ordinary differential equations, stability, Lyapunov equation