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
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.
PDF
Standard view
Export citation
Share 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.
Vol. 22, No. 9, pp. 2673~2953
Stats or Metrics
Share this article on
Related articles in IJCAS
-
Novel results on stability analysis of neutral-type neural networks with additive time-varying delay components and leakage delay
R. Samidurai, S. Rajavel, R. Sriraman, Jinde Cao*, Ahmed Alsaedi and Fuad E. Alsaadi
International Journal of Control, Automation and Systems 2017; 15(4): 1888-1900 -
A Lyapunov Functional Approach to Robust Stability Analysis of Continuous-Time Uncertain Linear Systems in Polytopic Domains
Dong Hwan Lee, Myung Hwan Tak, and Young Hoon Joo*
International Journal of Control, Automation and Systems 2013; 11(3): 460-469 -
Adaptive Finite-time Tracking Control for Constrained Pure-feedback Systems With Time-varying Delays and Unknown Initial States
Tian Xu* and Yuxiang Wu
International Journal of Control, Automation, and Systems 2024; 22(7): 2108-2121
