AN OPTIMIZATION APPROACH TO CONSTRUCTING LYAPUNOV–KRASOVSKY FUNCTIONALS

Abstract

A scalar linear differential equation of the neutral type is considered. When studying the stability and obtaining estimates of the convergence of the solutions of the equation, the functional of the Lyapunov–Krasovsky form is used in the quadratic form plus the integral term. The stability conditions of the zero solution are given. Finding the parameters of the functional is reduced to an optimization problem.