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Article Dans Une Revue IMA Journal of Mathematical Control and Information Année : 2018

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

Résumé

Time-dependent Lyapunov functionals appeared to be very efficient for sampled-data systems. In [14], 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 (LMIs). In the present paper we extend the latter results to the discrete-time sampled-data systems. We show that the proposed approach is less conservative on some examples with a lower number of decision variables.
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hal-01439214 , version 1 (18-01-2017)

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Alexandre Seuret, Emilia Fridman. Wirtinger-like Lyapunov-Krasovskii functionals for discrete-time delay systems. IMA Journal of Mathematical Control and Information, 2018, 35 (3), pp.861-876. ⟨10.1093/imamci/dnx002⟩. ⟨hal-01439214⟩
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