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State bounding and L∞-gain for positive singular systems with unbounded time-variable delay
International Journal of Systems Science ( IF 4.9 ) Pub Date : 2021-01-20 , DOI: 10.1080/00207721.2021.1872729
Mai Viet Thuan 1 , Le Ba Phuong 2 , Do Thi Thanh 2 , Tran Thi Hong Trang 2 , Nguyen Huu Sau 2
Affiliation  

This paper studies the problems of state bounding and 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-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.



中文翻译:

具有无界时变延迟的正奇异系统的状态边界和 L∞-增益

本文研究了状态边界和 -首次对具有无界时变延迟和有界扰动的正奇异系统进行增益分析。通过一种新颖的方法,我们为有或没有有界干扰的正奇异系统推导了组件状态边界。申请还提出了具有无界时变延迟的正奇异系统的增益问题。进行了一个数值例子来验证我们结果的有效性。

更新日期:2021-01-20
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