Abstract and Applied Analysis

Dynamical Behaviors of Stochastic Hopfield Neural Networks with Both Time-Varying and Continuously Distributed Delays

Qinghua Zhou, Penglin Zhang, and Li Wan

Full-text: Open access

Abstract

This paper investigates dynamical behaviors of stochastic Hopfield neural networks with both time-varying and continuously distributed delays. By employing the Lyapunov functional theory and linear matrix inequality, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. Finally, an example is given to illustrate the correctness and effectiveness of our theoretical results.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 631734, 9 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449445

Digital Object Identifier
doi:10.1155/2013/631734

Mathematical Reviews number (MathSciNet)
MR3045034

Zentralblatt MATH identifier
1275.39007

Citation

Zhou, Qinghua; Zhang, Penglin; Wan, Li. Dynamical Behaviors of Stochastic Hopfield Neural Networks with Both Time-Varying and Continuously Distributed Delays. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 631734, 9 pages. doi:10.1155/2013/631734. https://projecteuclid.org/euclid.aaa/1393449445


Export citation