Further Results on the Stability of Linear Systems with Multiple Delays1

This paper has two purposes. One is to establish new stability criteria for linear systems with multiple time-varying/constant delays, and the other is to point out the limitations of the author’s previous results. The stability criteria, including delaydependent and delay-independent ones, are derived by using both time-domain and frequency-domain techniques. All of the established stability criteria are given in the form of linear matrix inequality problems, including only one tuning parameter matrix P > 0 ∈ Rn×n