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Journal of Difference Equations and Applications Volume 28, 2022 - Issue 11-12
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On the stability of delayed linear discrete-time systems with periodic coefficients

Miloud SadkaneLaboratoire de Mathématiques de Bretagne Atlantique, Univ Brest, CNRS – UMR 6205, Brest Cedex 3, FranceCorrespondence[email protected]
Pages 1449-1457 | Received 19 May 2022, Accepted 23 Oct 2022, Published online: 07 Nov 2022
 
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Abstract

Stability estimates are obtained for delayed linear periodic discrete-time systems. Bounds on the decay of the solution are derived via a suitable Lyapunov–Krasovskii-type functional and the solvability of some periodic discrete-time Lyapunov equations.

2020 Mathematics Subject Classifications:

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