Regular Papers

International Journal of Control, Automation and Systems 2009; 7(2): 281-287

Published online April 6, 2009

https://doi.org/10.1007/s12555-009-0214-8

© The International Journal of Control, Automation, and Systems

Delay-Dependent Robust Stability Criteria for Delay Neural Networks with Linear Fractional Uncertainties

Tao Li, Lei Guo, Lingyao Wu, and Changyin Sun

Nanjing University of Information Science and Technology, China

Abstract

This article investigates the problem of robust stability for neural networks with time-varying delays and parameter uncertainties of linear fractional form. By introducing a new Lyapunov-Krasovskii functional and a tighter inequality, delay-dependent stability criteria are established in term of linear matrix inequalities (LMIs). It is shown that the obtained criteria can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the applicability of the proposed approach.

Keywords Delay-dependent, linear matrix inequality, neural networks, robust stability.

Article

Regular Papers

International Journal of Control, Automation and Systems 2009; 7(2): 281-287

Published online April 1, 2009 https://doi.org/10.1007/s12555-009-0214-8

Copyright © The International Journal of Control, Automation, and Systems.

Delay-Dependent Robust Stability Criteria for Delay Neural Networks with Linear Fractional Uncertainties

Tao Li, Lei Guo, Lingyao Wu, and Changyin Sun

Nanjing University of Information Science and Technology, China

Abstract

This article investigates the problem of robust stability for neural networks with time-varying delays and parameter uncertainties of linear fractional form. By introducing a new Lyapunov-Krasovskii functional and a tighter inequality, delay-dependent stability criteria are established in term of linear matrix inequalities (LMIs). It is shown that the obtained criteria can provide less conservative results than some existing ones. Numerical examples are given to demonstrate the applicability of the proposed approach.

Keywords: Delay-dependent, linear matrix inequality, neural networks, robust stability.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

Stats or Metrics

Share this article on

  • line

Related articles in IJCAS

IJCAS

eISSN 2005-4092
pISSN 1598-6446