caa a22 4500 606205292 CHVBK 20210128101006.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00034-014-9962-7 doi (NATIONALLICENCE)springer-10.1007/s00034-014-9962-7 Generalized Lag Synchronization of Neural Networks with Discontinuous Activations and Bounded Perturbations [Elektronische Daten] [Enli Wu, Xinsong Yang] 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. Springer Science+Business Media New York, 2015 Neural networks nationallicence Perturbations nationallicence Generalized lag synchronization nationallicence Discontinuous activation functions nationallicence Filippov solution nationallicence Adaptive control nationallicence Wu Enli Department of Mathematics, Chongqing Normal University, 401331, Chongqing, China aut Yang Xinsong Department of Mathematics, Chongqing Normal University, 401331, Chongqing, China aut Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/7(2015-07-01), 2381-2394 0278-081X 34:7<2381 2015 34 34 https://doi.org/10.1007/s00034-014-9962-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00034-014-9962-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Enli Department of Mathematics, Chongqing Normal University, 401331, Chongqing, China aut NATIONALLICENCE 700 1- Yang Xinsong Department of Mathematics, Chongqing Normal University, 401331, Chongqing, China aut NATIONALLICENCE 773 0- Circuits, Systems, and Signal Processing Springer US; http://www.springer-ny.com 34/7(2015-07-01), 2381-2394 0278-081X 34:7<2381 2015 34 34