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dc.contributor.authorPiyapong Niamsupen_US
dc.contributor.authorNguyen T. Thanhen_US
dc.contributor.authorVu N. Phaten_US
dc.description.abstractIn this paper, we propose an efficient analytical approach based on fractional calculus and singularity value theory to designing the finite-time $H_\infty $ controller for linear singular fractional differential equations with time-varying delay. By introducing new fractional-order $H_\infty $ norm, the state feedback controller is designed to guarantee that the closed-loop system is singular, impulse-free and finite-time stable with prescribed $H_\infty $ performance. New sufficient conditions for designing the $H_\infty $ finite-time controller are presented. The results of this paper improve the corresponding ones of integer-order singular systems with time-varying delay. Finally, a numerical example demonstrates the validity and effectiveness of the proposed theoretical results.en_US
dc.titleFinite-time H<inf>∞</inf>control of linear singular fractional differential equations with time-varying delayen_US
article.title.sourcetitleIMA Journal of Mathematical Control and Informationen_US
article.volume39en_US University of Mining and Geologyen_US Institute of Mathematicsen_US Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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