Abstract
This paper considers the problem of global robust stability of a class of uncertain delayed neural networks with discontinuous activation functions. The uncertainties are assumed to be norm-bounded. In the form of linear matrix inequality (LMI), a new sufficient condition is obtained for the robust stability of this class of neural networks based on Lyapunov–Krasovskii stability theory as well as Filippov theory. Our conditions are independent of the delay and easy to check. A numerical example is given to show the effectiveness and superiority of our results.
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This work was supported by National Natural Science Foundation of China (10771055, 60775047, 60835004), Research Foundation of Hunan Provincial Education Department (10C0356), Graduate Innovation Foundation of Hunan Province (521298297[08], CX2009B065, 2010) and National High Technology Research and Development Program of China (863 Program: 2007AA04Z244, 2008AA04Z214). Some of the work was done in Canada when the author Yi Zuo visited the University of Waterloo.
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Zuo, Y., Wang, Y., Zhang, Y. et al. On Global Robust Stability of a Class of Delayed Neural Networks with Discontinuous Activation Functions and Norm-Bounded Uncertainty. Circuits Syst Signal Process 30, 35–53 (2011). https://doi.org/10.1007/s00034-010-9206-4
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DOI: https://doi.org/10.1007/s00034-010-9206-4