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Mathematics 2019, 7(3), 217;

Robust H Control For Uncertain Singular Neutral Time-Delay Systems

School of Finance and Mathematics, Huainan Normal University, Dongshanxi Street, Tianjiaan Dist., Huainan 232038, China
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Author to whom correspondence should be addressed.
Received: 28 December 2018 / Revised: 21 February 2019 / Accepted: 21 February 2019 / Published: 26 February 2019
(This article belongs to the Special Issue Mathematics on Automation Control Systems)
Full-Text   |   PDF [293 KB, uploaded 26 February 2019]   |  


The present paper attempts to investigate the problem of robust H control for a class of uncertain singular neutral time-delay systems. First, a linear matrix inequality (LMI) is proposed to give a generalized asymptotically stability condition and an H norm condition for singular neutral time-delay systems. Second, the LMI is utilized to solve the robust H problem for singular neutral time-delay systems, and a state feedback control law verifies the solution. Finally, four theorems are formulated in terms of a matrix equation and linear matrix inequalities. View Full-Text
Keywords: uncertain singular neutral delay systems; LMI; asymptotic stability; robust H performance uncertain singular neutral delay systems; LMI; asymptotic stability; robust H performance

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Huo, Y.; Liu, J.-B. Robust H Control For Uncertain Singular Neutral Time-Delay Systems. Mathematics 2019, 7, 217.

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