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

Ramasamy Saravanakumar; Sreten B. Stojanovic; Damnjan D. Radosavljevic; Choon Ki Ahn; Hamid Reza Karimi

doi:10.1109/TNNLS.2018.2829149

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

Ramasamy Saravanakumar, Sreten B. Stojanovic, Damnjan D. Radosavljevic, Choon Ki Ahn, Hamid Reza Karimi

Research output: Contribution to journal › Article › peer-review

60 Citations (Scopus)

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.

Original language	English
Article number	8362787
Pages (from-to)	58-71
Number of pages	14
Journal	IEEE Transactions on Neural Networks and Learning Systems
Volume	30
Issue number	1
DOIs	https://doi.org/10.1109/TNNLS.2018.2829149
Publication status	Published - 2019 Jan

Bibliographical note

Publisher Copyright:
© 2012 IEEE.

Keywords

Discrete-time neural networks (DNNs)
Lyapunov method
finite-time passivity (FTP) analysis
weighted summation inequality

ASJC Scopus subject areas

Software
Computer Science Applications
Computer Networks and Communications
Artificial Intelligence

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10.1109/TNNLS.2018.2829149

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Finite-Time Passivity-Based Stability Criteria for Delayed Discrete-Time Neural Networks via New Weighted Summation Inequalities. / Saravanakumar, Ramasamy; Stojanovic, Sreten B.; Radosavljevic, Damnjan D. et al.
In: IEEE Transactions on Neural Networks and Learning Systems, Vol. 30, No. 1, 8362787, 01.2019, p. 58-71.

Research output: Contribution to journal › Article › peer-review

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

Abstract

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Keywords

ASJC Scopus subject areas

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