Delay-dependent exponential passivity of uncertain cellular neural networks with discrete and distributed time-varying delays

Yuanhua Du; Shouming Zhong; Jia Xu; Nan Zhou

doi:10.1016/j.isatra.2014.11.005

Delay-dependent exponential passivity of uncertain cellular neural networks with discrete and distributed time-varying delays

ISA Trans. 2015 May:56:1-7. doi: 10.1016/j.isatra.2014.11.005. Epub 2015 Feb 18.

Authors

Yuanhua Du¹, Shouming Zhong², Jia Xu³, Nan Zhou⁴

Affiliations

¹ School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China. Electronic address: duyuanhuaa@126.com.
² School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
³ Department of Financial Affairs Office, Sichuan University of Arts and Science of China, Dazhou, Sichuan 635000, PR China.
⁴ School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.

PMID: 25702046
DOI: 10.1016/j.isatra.2014.11.005

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.

Keywords: Cellular neural networks; Delay decomposition; Exponential passivity; Linear matrix inequality; Lyapunov–Krasovskii functional; Time-varying delays.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Action Potentials / physiology*
Animals
Computer Simulation
Humans
Models, Biological*
Models, Statistical*
Nerve Net / physiology*
Neurons / physiology*
Synaptic Transmission / physiology*
Time Factors