The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
LMI-based approach for asymptotically stability analysis of delayed neural networks
Abstract
This paper derives some sufficient conditions for asymptotic stability of neural networks with constant or time-varying delays. The Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) approach are employed to investigate the problem. It shows how some well-known results can be refined and generalized in a straightforward manner. For the case of constant time delays, the stability criteria are delay-independent; for the case of time-varying delays, the stability criteria are delay-dependent. The results obtained in this paper are less conservative than the ones reported so far in the literature and provides one more set of criteria for determining the stability of delayed neural networks.
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Citations
Cites
Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
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Stability of analog neural networks with delay
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Stability in asymmetric Hopfield nets with transmission delays
Gopalsamy, K., & He, X.-Z. (1994) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(94)90043-4 · Cited by 528
How delays affect neural dynamics and learning
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Global Attractivity in Delayed Hopfield Neural Network Models
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Metadata
- Authors
- Liao, X., Chen, G., & Sanchez, E. N.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 2002-07
- Volume
- 49
- Issue
- 7
- Pages
- 1033-1039
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2159468916
- Cited by
- 346
- References
- 17
- FWCI
- 38.73
- Type
- journal article
- Language
- en
- Open access
- closed
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- Liao, X., Chen, G., & Sanchez, E. N. (2002). LMI-based approach for asymptotically stability analysis of delayed neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/tcsi.2002.800842
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