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math.OC2017★ 1 cited
A note on relationship between some bounding inequalities in stability analysis of time-delay systems
Eva Gyurkovics, Tibor Takacs
In this paper, an extension of the generalized free matrix based inequality is introduced in a unified form suitable for the estimation of integrals and sums of quadratic functions…
math.OC2015★ 35 cited
Multiple summation inequalities and their application to stability analysis of discrete-time delay systems
Eva Gyurkovics, Krisztina Kiss, Ilona Nagy +1
This paper is devoted to stability analysis of discrete-time delay systems based on a set of Lyapunov-Krasovskii functionals. New multiple summation inequalities are derived that i…