Published October 2010 | Version v1
Journal article

Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control

  • 1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046 (China)

Description

In this paper, a class of neural networks with time-varying delays are investigated for the first time using a periodically intermittent control technique. First, some new and useful stabilization criteria and synchronization conditions based on p-norm are derived by introducing multi-parameters and using the Lyapunov functional technique. For ∞-norm, using the analysis technique, some novel conditions ensuring exponential stability and synchronization are also obtained. It is worth noting that the methods used in this paper are totally different from the corresponding previous works and the obtained conditions are less conservative. Particularly, the traditional assumptions on control width and time delay are removed in this paper. Finally, some numerical simulations are given to verify the theoretical results

Availability note (English)

Available from http://dx.doi.org/10.1088/0951-7715/23/10/002

Additional details

Identifiers

DOI
10.1088/0951-7715/23/10/002;
PII
S0951-7715(10)47892-5;

Publishing Information

Journal Title
Nonlinearity (Print)
Journal Volume
23
Journal Issue
10
Journal Page Range
p. 2369-2391
ISSN
0951-7715

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45034614
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
COMPUTERIZED SIMULATION; CONTROL; LYAPUNOV METHOD; NEURAL NETWORKS; NUMERICAL ANALYSIS; PERIODICITY; STABILITY; STABILIZATION; SYNCHRONIZATION; TIME DELAY
Descriptors DEC
CALCULATION METHODS; MATHEMATICS; SIMULATION; VARIATIONS