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.