Global robust dissipativity of interval recurrent neural networks with time-varying delay and discontinuous activations
Lian Duan, Lihong Huang, Zhenyuan Guo · Chaos An Interdisciplinary Journal of Nonlinear Science · 2016
In this paper, the problems of robust dissipativity and robust exponential dissipativity are discussed for a class of recurrent neural networks with time-varying delay and discontinuous activations. We extend an invariance principle for the study of the dissipativity problem of delay systems to the discontinuous case. Based on the developed theory, some novel criteria for checking the global robust dissipativity and global robust exponential dissipativity of the addressed neural network model are established by constructing appropriate Lyapunov functionals and employing the theory of Filippov systems and matrix inequality techniques. The effectiveness of the theoretical results is shown by two examples with numerical simulations.