Strong delay independent stability condition for commensurate time delay systems

The strong delay independent stability (DIS) for commensurate multiple time delay systems (CMTDSs) is studied in this paper. The necessary and sufficient strong DIS condition is derived for an augmented time delay system (TDS) originated from the original multiple time delay system (MTDS). A linear matrix inequality (LMI) condition is used to deal with the strong DIS, whose solution is derived by means of Kalman-Yakubovich-Popov (KYP) lemma and Kronecker properties. Two numerical examples are given to demonstrate the advantages and applicability of the proposed approach.