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

Mai Viet Thuan, Le Ba Phuong, Do Thi Thanh, Tran Thi Hong Trang and Nguyen Huu Sau

International Journal of Systems Science, 2021, vol. 52, issue 9, 1925-1937

Abstract: This paper studies the problems of state bounding and $ L_\infty $ L∞-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 $ L_{\infty } $ L∞-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.

Date: 2021
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DOI: 10.1080/00207721.2021.1872729

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