ROBUST STABILITY ANALYSIS OF LINEAR PERIODIC SYSTEMS WITH TIME DELAY
Olga N. Letyagina, Alexey P. Zhabko · International Journal of Modern Physics A · 2009
In this paper, a procedure for construction of quadratic Lyapunov-Krasovskii functionals for linear time delay systems with periodic coefficients is proposed. Functionals are used to derive robust stability conditions. The problem of computation of Lyapunov matrices for functionals is reduced to computation of solutions of an auxiliary two-point boundary problem for a special delay free system of matrix equation.