title: Global robust dissipativity of interval recurrent neural networks with time-varying delay and discontinuous activations.
abstract: 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.
authors.affiliation: School of Science, Anhui University of Science and Technology, Huainan, Anhui 232001, People's Republic of China.
authors.forename: Lian
authors.initials: L
authors.lastname: Duan
authors.affiliation: School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, People's Republic of China.
authors.forename: Lihong
authors.initials: L
authors.lastname: Huang
authors.affiliation: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People's Republic of China.
authors.forename: Zhenyuan
authors.initials: Z
authors.lastname: Guo