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Robust stability analysis of delayed Takagi-Sugeno fuzzy Hopfield neural networks with discontinuous activation functions.
| Content Provider | Europe PMC |
|---|---|
| Author | Wu, Xiru Wang, Yaonan Huang, Lihong Zuo, Yi |
| Abstract | In this paper, the global robust stability problem of delayed Takagi–Sugeno fuzzy Hopfield neural networks with discontinuous activation functions (TSFHNNs) is considered. Based on Lyapunov stability theory and M-matrices theory, we derive a stability criterion to guarantee the global robust stability of TSFHNNs. Compared with the existing literature, we remove the assumptions on the neuron activations such as Lipschitz conditions, bounded, monotonic increasing property or the assumption that the right-limit value is bigger than the left one at the discontinuous point. Finally, two numerical examples are given to show the effectiveness of the proposed stability results. |
| Related Links | https://europepmc.org/backend/ptpmcrender.fcgi?accid=PMC2974099&blobtype=pdf |
| ISSN | 18714080 |
| Volume Number | 4 |
| DOI | 10.1007/s11571-010-9123-z |
| PubMed Central reference number | PMC2974099 |
| Issue Number | 4 |
| PubMed reference number | 22132043 |
| Journal | Cognitive Neurodynamics [Cogn Neurodyn] |
| e-ISSN | 18714099 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2010-07-14 |
| Publisher Place | Dordrecht |
| Access Restriction | Open |
| Rights License | © Springer Science+Business Media B.V. 2010 |
| Subject Keyword | Delayed Hopfield neural network Global robust asymptotical stability Discontinuous neuron activations M-matrices theory T–S fuzzy model |
| Content Type | Text |
| Resource Type | Article |
| Subject | Cognitive Neuroscience |
