Periodic oscillations in a class of fuzzy neural networks under impulsive control

Yong Zhao; Qishao Lu

doi:10.3934/proc.2011.2011.1457

Article Contents

2011, Volume 2011: 1457-1466. Doi: 10.3934/proc.2011.2011.1457 open access

This issue Previous Article Cylindrical blowup solutions to the isothermal Euler-Poisson equations Next Article Inverse problems for linear ill-posed differential-algebraic equations with uncertain parameters

Periodic oscillations in a class of fuzzy neural networks under impulsive control

Yong Zhao^1, and
Qishao Lu^2,

1.
Department of Dynamics and Control, Beijing University of Aeronautics and Astronautics, Beijing 100191
2.
School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083

Received: May 31, 2010

Revised: March 31, 2011

Published: August 2017

Abstract Related Papers Cited by

Abstract

In this paper, a class of fuzzy neural networks under impulsive control is discussed. Using Mawhin's continuation theorem of coincidence degree and the Halanay-type inequalities, some sucient conditions for existence and globally exponential stability of periodic solution are established. Fuzzy rules are put into Lipschitzian condition and a new method to study stability is introduced, based on the Halanay-type inequalities. Furthermore, some neural network models are considered to illustrate the feasibility and eectiveness of our results.

Keywords:

Mathematics Subject Classification: Primary: 35C20, 35P20; Secondary: 93D15.

Citation:

Article Metrics

HTML views() PDF downloads(53) Cited by(0)

Periodic oscillations in a class of fuzzy neural networks under impulsive control

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Periodic oscillations in a class of fuzzy neural networks under impulsive control

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content