Stability for single and large-scale uncertain systems with time-varying delays

The problems of stability for single and large-scale uncertain systems including time-varying delays are considered. By applying the comparison theorem and some analytical methods, new delay-dependent sufficient conditions with linear state feedback controllers are derived. The stability criteria are delay-dependent and less conservative than delay-independent stability criteria and delay-dependent stability criteria when delay is small. The proposed stability criteria are relatively simple to check numerically and the result can be generalised to handle systems with uncertainties and those by allowing for time-varying delays