An improved robust stability analysis for systems with two delays by extracting overlapping feature

In this paper,a delay-dependent robust stability criterion is proposed for linear systems with two delays.For delay-dependent stable systems,the delays are very small in nature.So,they may overlap each other.This overlapping information may be exploited to obtain a less conservative criterion.To extract such information,a special type of simple Lyapunov–Krasovskii functional is considered.To derive the criterion in form of Linear Matrix inequalities,a matrix variable approach is used.Some numerical examples are presented to validate the less conservativeness of the proposed criterion.