Further improvement in delay-range-dependent stability criterion for linear systems with time-varying delay

In this paper, we present an improved version of the delay-range-dependent stability criterion reported recently (in Automatica) for a class of linear systems with interval time-delay. The proposed delay-dependent stability analysis, using the same Lyapunov-Krasovskii functional, reduces the conservatism in the improved version of the stability criterion by tightly bounding the time-derivative of the functional using minimal number of slack matrix variables. Furthermore, we have theoretically established the effectiveness of the proposed analysis in reducing the conservatism of the stability criterion in the improved version, and have demonstrated the same using standard numerical examples.