Stability investigation for linear periodic time-delayed systems using Fredholm theory

A single-loop linear periodic system with time delay is considered. Using the mathematical tool of integral Fredholm equations of the second kind, a characteristic function is constructed, the roots of which are inverses of the multipliers of the system. Rigorous sufficient stability conditions are given, which are based on approximate representation of the characteristic function in the form of a polynomial.

Presented by the member of Editorial Board: V. L. Kharitonov