Constructive method of linear systems with delay stability analysis

In this paper, the finite constructive method for linear differential-difference systems stability and instability analysis is proposed, and its convergence is proved. This method is based on obtaining of the quadratic lower bound for the quadratic Lyapunov – Krasovskii functionals on some special set of functions. The method proposed is applied to the stability domain construction in a parameter space, and to the critical delay values numerical determination.