DD-stability for linear continuous-time systems with multiple time delays

This paper addresses the DD-stability problem of linear continuous-time systems with multiple time delays. A sufficient condition to guarantee all poles of a given linear time-delay system located in the specified region is proposed. This condition can be solved using LMI toolbox. The result is also extended to the robust DD-stability problem of perturbed linear time-delay systems. The illustrative example shows that this method is effective to check the DD-stability of linear time-delay systems.