State bounding and L ∞-gain for positive singular systems with unbounded time-variable delay

Abstract

This paper studies the problems of state bounding and -gain analysis for positive singular systems with unbounded time-variable delays and bounded disturbance for the first time. By a novel approach, we derive componentwise state bounds for positive singular system with or without bounded disturbances. An application to -gain problem of positive singular systems with unbounded time-variable delays is also presented. A numerical example is conducted to validate the effectiveness of our results.