Stability for Neural Networks With Time-Varying Delays via Some New Approaches
This paper considers the problem of delay-dependent stability criteria for neural networks with time-varying delays. First, by constructing a newly augmented Lyapunov-Krasovskii functional, a less conservative stability criterion is established in terms of linear matrix inequalities. Second, by prop...
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| Veröffentlicht in: | IEEE transaction on neural networks and learning systems 2013-02, Vol.24 (2), p.181-193 |
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| container_title | IEEE transaction on neural networks and learning systems |
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| creator | Oh-Min Kwon Myeong-Jin Park Sang-Moon Lee Park, J. H. Eun-Jong Cha |
| description | This paper considers the problem of delay-dependent stability criteria for neural networks with time-varying delays. First, by constructing a newly augmented Lyapunov-Krasovskii functional, a less conservative stability criterion is established in terms of linear matrix inequalities. Second, by proposing novel activation function conditions which have not been proposed so far, further improved stability criteria are proposed. Finally, three numerical examples used in the literature are given to show the improvements over the existing criteria and the effectiveness of the proposed idea. |
| doi_str_mv | 10.1109/TNNLS.2012.2224883 |
| format | Article |
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| subjects | Applied sciences Artificial intelligence Biological neural networks Computer science control theory systems Connectionism. Neural networks Control system analysis Control theory. Systems Delay Exact sciences and technology Lyapunov method neural networks Neural Networks (Computer) stability Stability criteria Symmetric matrices Time Factors time-varying delays Vectors |
| title | Stability for Neural Networks With Time-Varying Delays via Some New Approaches |
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