Abstract | ||
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This paper considers the impulsive control of unstable neural networks with unbounded time-varying delays, where the time delays to be addressed include the unbounded discrete time-varying delay and unbounded distributed time-varying delay. By employing impulsive control theory and some analysis techniques, several sufficient conditions ensuring μ-stability, including uniform stability, (global) asymptotical stability, and (global) exponential stability, are derived. It is shown that an unstable delay neural network, especially for the case of unbounded time-varying delays, can be stabilized and has μ-stability via proper impulsive control strategies. Three numerical examples and their simulations are presented to demonstrate the effectiveness of the control strategy. |
Year | DOI | Venue |
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2018 | 10.1007/s11432-017-9097-1 | SCIENCE CHINA Information Sciences |
Keywords | DocType | Volume |
unstable neural networks, impulsive control, unbounded discrete time-varying delay, unbounded distributed time-varying delay, μ-stability | Journal | 61 |
Issue | ISSN | Citations |
1 | 1674-733X | 6 |
PageRank | References | Authors |
0.40 | 24 | 3 |
Name | Order | Citations | PageRank |
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Xiaodi Li | 1 | 410 | 20.60 |
Shiji Song | 2 | 1247 | 94.76 |
Jianhong Wu | 3 | 458 | 77.19 |