Stability Analysis of Time-Delay Systems via a Delay-Derivative-Partitioning Approach

This paper is devoted to the study of delay-dependent stability time-varying delay systems. A delay-derivative-partitioning approach proposed. By constructing an augmented Lyapunov functional that contains two delay-product-dependent terms and using approach, improved condition established. The derived described as a set linear matrix inequalities, which can be readily implemented. Finally, four examples are carried out so attest effect merit presented approach.