A Delay Decomposition Approach to the Stability Analysis of Singular Systems with Interval Time-Varying Delay

Abstract EN

This paper investigates delay-dependent stability problem for singular systems with interval time-varying delay.

An appropriate Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple equidistant subintervals, where both the information of every subinterval and time-varying delay have been taken into account.

Employing the Lyapunov-Krasovskii functional, improved delay-dependent stability criteria for the considered systems to be regular, impulse-free, and stable are established.

Finally, two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.