IEEE Transactions on Automatic Control, Vol.46, No.5, 789-792, 2001
Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty
In this note, we consider the robust stability of time-delayed Linear systems with uncertainties. The uncertainties are time-varying and unknown but are norm-bounded, and the time-delay is time-varying. A sufficient condition is presented in the linear matrix inequality (LMI) form which is dependent on the size of time-delay and on the size of time-derivative. Finally, we give two examples to compare with the previous results.
Keywords:linear matrix inequality (LMI);robust stability;time-delay;time-delay and its time-derivative;uncertainty