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.

[1]  Shengyuan Xu,et al.  Relaxed Stability Conditions for Delayed Recurrent Neural Networks with Polytopic Uncertainties , 2006, Int. J. Neural Syst..

[2]  Vimal Singh,et al.  Global robust stability of delayed neural networks: an LMI approach , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[3]  Tao Li,et al.  Robust stability for neural networks with time-varying delays and linear fractional uncertainties , 2007, Neurocomputing.

[4]  E. Zerrad,et al.  Quantum hypervirial theorems , 2006 .

[5]  K. Gu.  An integral inequality in the stability problem of time-delay systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[6]  Zidong Wang,et al.  On global asymptotic stability of neural networks with discrete and distributed delays , 2005 .

[7]  Wei Xing Zheng,et al.  Output feedback H∞ control for uncertain discrete-time hyperbolic fuzzy systems , 2006, Eng. Appl. Artif. Intell..

[8]  Min Wu,et al.  LMI-based stability criteria for neural networks with multiple time-varying delays , 2005 .

[9]  Ju H. Park,et al.  A new stability analysis of delayed cellular neural networks , 2006, Appl. Math. Comput..

[10]  X. Guan,et al.  New results on stability analysis of neural networks with time-varying delays , 2006 .

[11]  Guo-Ping Liu,et al.  New Delay-Dependent Stability Criteria for Neural Networks With Time-Varying Delay , 2007, IEEE Transactions on Neural Networks.

[12]  S. Arik.  Global asymptotic stability of a larger class of neural networks with constant time delay , 2003 .

[13]  Jinde Cao,et al.  Global robust stability of interval neural networks with multiple time-varying delays , 2007, Math. Comput. Simul..

[14]  Jinde Cao,et al.  Global asymptotic and robust stability of recurrent neural networks with time delays , 2005, IEEE Trans. Circuits Syst. I Regul. Pap..

[15]  Ju H. Park,et al.  Novel delay-dependent robust stability criterion of delayed cellular neural networks , 2007 .

[16]  V. Singh.  Robust stability of cellular neural networks with delay: linear matrix inequality approach , 2004 .

[17]  Vimal Singh,et al.  LMI approach to the global robust stability of a larger class of neural networks with delay , 2007 .

[18]  Tianping Chen,et al.  Delay-independent stability analysis of Cohen-Grossberg neural networks , 2003 .

[19]  Xiaofeng Liao,et al.  (Corr. to) Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach , 2002, Neural Networks.

[20]  Qiang Zhang,et al.  Stability analysis for cellular neural networks with variable delays , 2006 .

[21]  Ju H. Park.  A novel criterion for global asymptotic stability of BAM neural networks with time delays , 2006 .

[22]  Shengyuan Xu,et al.  Novel global asymptotic stability criteria for delayed cellular neural networks , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[23]  Ju H. Park.  Robust stability of bidirectional associative memory neural networks with time delays , 2006 .

[24]  Qiang Zhang,et al.  Global exponential stability for nonautonomous cellular neural networks with delays , 2006 .

[25]  Kiheon Park,et al.  An optimal H2 decoupling design for non-square plant systems based on the two-degree-of-freedom standard model , 2009 .

[26]  Maozhen Li,et al.  Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays , 2006, IEEE Transactions on Neural Networks.

[27]  Hoon Cheol Park,et al.  Vibration suppression of a flexible robot manipulator with a lightweight piezo-composite actuator , 2009 .

[28]  Shengyuan Xu,et al.  On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems , 2007, IEEE Transactions on Automatic Control.