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  5. Exponential Stability, Passivity, and Dissipativity Analysis of Generalized Neural Networks With Mixed Time-Varying Delays

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Article
English
2017

Exponential Stability, Passivity, and Dissipativity Analysis of Generalized Neural Networks With Mixed Time-Varying Delays

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English
2017
IEEE Transactions on Systems Man and Cybernetics Systems
Vol 49 (2)
DOI: 10.1109/tsmc.2017.2719899

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Hamid Reza Karimi
Hamid Reza Karimi

Politecnico di Milano

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Ramasamy Saravanakumar
Grienggrai Rajchakit
Choon Ki Ahn
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Abstract

In this paper, we analyze the exponential stability, passivity, and (Q, G, R)-γ-dissipativity of generalized neural networks (GNNs) including mixed time-varying delays in state vectors. Novel exponential stability, passivity, and (Q, G, R)-γ-dissipativity criteria are developed in the form of linear matrix inequalities for continuous-time GNNs by constructing an appropriate Lyapunov-Krasovskii functional (LKF) and applying a new weighted integral inequality for handling integral terms in the time derivative of the established LKF for both single and double integrals. Some special cases are also discussed. The superiority of employing the method presented in this paper over some existing methods is verified by numerical examples.

How to cite this publication

Ramasamy Saravanakumar, Grienggrai Rajchakit, Choon Ki Ahn, Hamid Reza Karimi (2017). Exponential Stability, Passivity, and Dissipativity Analysis of Generalized Neural Networks With Mixed Time-Varying Delays. IEEE Transactions on Systems Man and Cybernetics Systems, 49(2), pp. 395-405, DOI: 10.1109/tsmc.2017.2719899.

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Publication Details

Type

Article

Year

2017

Authors

4

Datasets

0

Total Files

0

Language

English

Journal

IEEE Transactions on Systems Man and Cybernetics Systems

DOI

10.1109/tsmc.2017.2719899

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