TY - JOUR
T1 - Wirtinger-like Lyapunov-Krasovskii functionals for discrete-time delay systems
AU - Seuret, Alexandre
AU - Fridman, Emilia
N1 - Publisher Copyright:
© The authors 2017.
PY - 2018/9/21
Y1 - 2018/9/21
N2 - 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.
AB - 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.
KW - Lyapunov-Krasovskii functional
KW - Wirtinger inequality
KW - discrete-time delay systems
KW - sampled-data
UR - http://www.scopus.com/inward/record.url?scp=85054792427&partnerID=8YFLogxK
U2 - 10.1093/imamci/dnx002
DO - 10.1093/imamci/dnx002
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AN - SCOPUS:85054792427
SN - 0265-0754
VL - 35
SP - 861
EP - 876
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
IS - 3
ER -