Abstract
Robust stability of linear time-delay systems has been studied by many reseachers in recent years. However, because of difficulty in dealing with uncertainties, existent robust stability conditions are often conservative and algorithms are too complex to check. In this report, robust stability of linear time-delay systems is studied by Lambert W function. Using the function, a delay-dependent robust stability condition for a class of linear time-delay systems is dirived in the form of a necessary and sufficient one. Moreover, by ubiquitously available software such as Mathematica and Maple which include the function, robust stability can be checked easily.
