Abstract
This paper deals with the α-stability for a class of linear systems with multiple delays. New sufficient conditions for exponential stability with a convergence rate are established based on Lyapunov functionals and the linear matrix inequality technique. Two numerical examples are provided to illustrate the effectiveness of the proposed results.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 61, Optimal Control, 2008.
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Kacem, W., Chaabane, M., Mehdi, D. et al. On α-stability criteria of linear systems with multiple time delays. J Math Sci 161, 200–207 (2009). https://doi.org/10.1007/s10958-009-9546-4
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DOI: https://doi.org/10.1007/s10958-009-9546-4