Wirtinger-like Lyapunov-Krasovskii functionals for discrete-time delay systems

Alexandre Seuret*, Emilia Fridman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Time-dependent Lyapunov functionals appeared to be very efficient for sampled-data systems. Recently, new Lyapunov functionals were constructed for sampled-data control in the presence of a constant input delay. The construction of these functionals was based on Wirtinger's inequality leading to simplified and efficient stability conditions in terms of linear matrix inequalities. In this article, we extend the latter results to the discrete-time sampled-data systems.We showthat the proposed approach is less conservative on some examples with a lower number of decision variables.

Original languageEnglish
Pages (from-to)861-876
Number of pages16
JournalIMA Journal of Mathematical Control and Information
Issue number3
StatePublished - 21 Sep 2018


  • Lyapunov-Krasovskii functional
  • Wirtinger inequality
  • discrete-time delay systems
  • sampled-data


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