Delay-Interval-Dependent Stability Criterion for Linear Systems With Time-Varying State Delay

This paper considers the problem of stability analysis of linear systems with a time-varying state delay. A new delay-interval-dependent stability criterion is derived without involving any direct approximation of the integral terms that involve uncertain limit of integration in the time-derivative of the Lyapunov-Krasovskii functional. This development leads to a less conservative LMI criterion as seen through numerical examples.