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Mathematics 2019, 7(3), 217; https://doi.org/10.3390/math7030217

Robust H Control For Uncertain Singular Neutral Time-Delay Systems

1
School of Finance and Mathematics, Huainan Normal University, Dongshanxi Street, Tianjiaan Dist., Huainan 232038, China
2
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]   |  

Abstract

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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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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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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