title: Delay-dependent exponential passivity of uncertain cellular neural networks with discrete and distributed time-varying delays.
abstract: This paper is concerned with the delay-dependent exponential passivity analysis issue for uncertain cellular neural networks with discrete and distributed time-varying delays. By decomposing the delay interval into multiple equidistant subintervals and multiple nonuniform subintervals, a suitable augmented Lyapunov-Krasovskii functionals are constructed on these intervals. A set of novel sufficient conditions are obtained to guarantee the exponential passivity analysis issue for the considered system. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed results.
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: duyuanhuaa@126.com.
authors.forename: Yuanhua
authors.initials: Y
authors.lastname: Du
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Shouming
authors.initials: S
authors.lastname: Zhong
authors.affiliation: Department of Financial Affairs Office, Sichuan University of Arts and Science of China, Dazhou, Sichuan 635000, PR China.
authors.forename: Jia
authors.initials: J
authors.lastname: Xu
authors.affiliation: School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
authors.forename: Nan
authors.initials: N
authors.lastname: Zhou
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000818:Animals; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology*; D013997:Time Factors
keywords: Cellular neural networks; Delay decomposition; Exponential passivity; Linear matrix inequality; Lyapunov–Krasovskii functional; Time-varying delays