Generalized Lag Synchronization of Neural Networks with Discontinuous Activations and Bounded Perturbations
Circuits, Systems, and Signal Processing, ISSN: 1531-5878, Vol: 34, Issue: 7, Page: 2381-2394
2015
- 16Citations
- 1Captures
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Article Description
In this paper, generalized lag synchronization (GLS) for a class of neural networks with discontinuous activation functions and bounded external disturbances is studied under the framework of Filippov solutions. The external disturbances to the driver and response neural networks are nonidentical. A simple discontinuous adaptive controller is designed to overcome the difficulty induced by the nonidentical perturbations and the uncertainties of the Filippov solutions. Based on the concept of Filippov solutions, differential inclusion, nonsmooth analysis, and Lyapunov function method, sufficient conditions are obtained to guarantee the GLS of the discontinuous neural networks. Some existing results on synchronization of neural networks with discontinuous activations are extended and improved. Results of this paper are also applicable to nonlinear continuous systems. Numerical simulations are given to show the effectiveness of the theoretical results.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84935834564&origin=inward; http://dx.doi.org/10.1007/s00034-014-9962-7; http://link.springer.com/10.1007/s00034-014-9962-7; http://link.springer.com/content/pdf/10.1007/s00034-014-9962-7; http://link.springer.com/content/pdf/10.1007/s00034-014-9962-7.pdf; http://link.springer.com/article/10.1007/s00034-014-9962-7/fulltext.html; https://dx.doi.org/10.1007/s00034-014-9962-7; https://link.springer.com/article/10.1007/s00034-014-9962-7
Springer Science and Business Media LLC
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