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  5. Finite-Time Passivity-Based Stability Criteria for Delayed Discrete-Time Neural Networks via New Weighted Summation Inequalities

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Article
English
2018

Finite-Time Passivity-Based Stability Criteria for Delayed Discrete-Time Neural Networks via New Weighted Summation Inequalities

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English
2018
IEEE Transactions on Neural Networks and Learning Systems
Vol 30 (1)
DOI: 10.1109/tnnls.2018.2829149

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Hamid Reza Karimi
Hamid Reza Karimi

Politecnico di Milano

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Ramasamy Saravanakumar
Sreten B. Stojanović
Damnjan D. Radosavljevic
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Abstract

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.

How to cite this publication

Ramasamy Saravanakumar, Sreten B. Stojanović, Damnjan D. Radosavljevic, Choon Ki Ahn, Hamid Reza Karimi (2018). Finite-Time Passivity-Based Stability Criteria for Delayed Discrete-Time Neural Networks via New Weighted Summation Inequalities. IEEE Transactions on Neural Networks and Learning Systems, 30(1), pp. 58-71, DOI: 10.1109/tnnls.2018.2829149.

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Publication Details

Type

Article

Year

2018

Authors

5

Datasets

0

Total Files

0

Language

English

Journal

IEEE Transactions on Neural Networks and Learning Systems

DOI

10.1109/tnnls.2018.2829149

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