The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Necessary and sufficient condition for absolute stability of neural networks
Abstract
The main result in this paper is that for a neural circuit of the Hopfield type with a symmetric connection matrix T, the negative semidefiniteness of T is a necessary and sufficient condition for Absolute Stability. The most significant theoretical implication is that the class of neural circuits with a negative semidefinite T is the largest class of circuits that can be employed for embedding and solving optimization problems without the risk of spurious responses.>
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Citations
Cites
Hopfield, J. J. (1984) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.81.10.3088 · Cited by 6,918
Cited by
Forti, M., & Tesi, A. (1995) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/81.401145 · Cited by 745
Self-citationA Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks
Zhang, H., Wang, Z., & Liu, D. (2014) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2014.2317880 · Cited by 654
Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
Cao, J., & Wang, J. (2003) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/tcsi.2002.807494 · Cited by 555
LMI-based approach for asymptotically stability analysis of delayed neural networks
Liao, X., Chen, G., & Sanchez, E. N. (2002) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/tcsi.2002.800842 · Cited by 346
Global robust stability of delayed recurrent neural networks
Cao, J., Huang, D.-S., & Qu, Y. (2005) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2004.04.002 · Cited by 255
Metadata
- Authors
- Forti, M., Manetti, S., & Marini, M.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 1994-07
- Volume
- 41
- Issue
- 7
- Pages
- 491-494
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2103074333
- Cited by
- 206
- References
- 1
- FWCI
- 6.11
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Necessary and sufficient condition for absolute stability of neural networks. https://app.cochat.ai/papers/10.1109/81.298364
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- Forti, M., Manetti, S., & Marini, M. (1994). Necessary and sufficient condition for absolute stability of neural networks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/81.298364
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
