| Article ID: | iaor20111905 |
| Volume: | 72 |
| Issue: | 1 |
| Start Page Number: | 38 |
| End Page Number: | 60 |
| Publication Date: | Jan 2011 |
| Journal: | Automation and Remote Control |
| Authors: | Lampe P, Rosenwasser N |
| Keywords: | polynomial programs |
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.