Ramasamy SaravanakumarSreten B. StojanovicDamnjan D. RadosavljevicChoon Ki AhnHamid Reza KarimiUniversity of NišUniversiteti i PrishtinesPolitecnico di MilanoMahidol UniversityKunsan National UniversityKorea University2020-01-272020-01-272019-01-01IEEE Transactions on Neural Networks and Learning Systems. Vol.30, No.1 (2019), 58-71216223882162237X2-s2.0-85047638906https://repository.li.mahidol.ac.th/handle/20.500.14594/50695© 2012 IEEE. In this paper, we study the problem of finite-time stability and passivity criteria for discrete-time neural networks (DNNs) with variable delays. The main objective is how to effectively evaluate the finite-time passivity conditions for NNs. To achieve this, some new weighted summation inequalities are proposed for application to a finite-sum term appearing in the forward difference of a novel Lyapunov-Krasovskii functional, which helps to ensure that the considered delayed DNN is passive. The derived passivity criteria are presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed results.Mahidol UniversityComputer ScienceFinite-Time Passivity-Based Stability Criteria for Delayed Discrete-Time Neural Networks via New Weighted Summation InequalitiesArticleSCOPUS10.1109/TNNLS.2018.2829149