Robust H ? Control For Uncertain Singular Neutral Time-Delay Systems

Yuhong Huo and Jia-Bao Liu
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Yuhong Huo: School of Finance and Mathematics, Huainan Normal University, Dongshanxi Street, Tianjiaan Dist., Huainan 232038, China
Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China

Mathematics, 2019, vol. 7, issue 3, 1-13

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.

Keywords: uncertain singular neutral delay systems; LMI; asymptotic stability; robust H ? performance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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