Global exponential stability results for delayed neural networks of neutral type

References

• Arik , S. 2003 . Global asymptotic stability of a large class of neural networks with constant time delays . Phys. Lett. A , 311 : 504 – 511 .
   Web of Science ®Google Scholar
• Arik , S. 2004 . An analysis of exponenetial stability of delayed neural networks with time varying delays . Neural Netw. , 17 : 1027 – 1031 .
   PubMed Web of Science ®Google Scholar
• Balasubramaniam , P. , Abdul Samath , J. , Kumaresan , N. and Vincent Antony Kumar , A. 2006 . Solution of matrix Riccati differential equation for the linear linear quadratic singular system using neural networks . Appl. Math. Comput. , 182 : 1832 – 1839 .
   Web of Science ®Google Scholar
• Balasubramaniam , P. , Abdul Samath , J. and Kumaresan , N. 2007 . Optimal control for nonlinear singular systems with quadratic performance using neural networks . Appl. Math. Comput. , 187 : 1535 – 1543 .
   Google Scholar
• Boyd , S. , El Ghaoui , L. , Feron , E. and Balakrishnan , V. 1994 . Linear Matrix Inequalities in System and Control Theory , Philadelphia, PA : SIAM Studies in Applied Mathematics, SIAM .
   Google Scholar
• Cao , J. and Li , Q. 2000 . On the exponential stability and periodic solutions of delayed cellular neural networks . J. Math. Anal. Appl. , 252 : 50 – 64 .
   Google Scholar
• Cao , J. , Zhong , S. and Hu , Y. 2007 . Global stability analysis for a class of neural networks with time varying delays and control input . Appl. Math. Comput. , 189 : 1480 – 1490 .
   Web of Science ®Google Scholar
• Cao , J. and Zhou , D. 1998 . Stability analysis of delayed cellular neural networks . Neural Netw. , 11 : 1601 – 1605 .
   PubMed Web of Science ®Google Scholar
• Chu , T. G. 2001 . An exponential convergence estimate for analog neural networks with delays . Phys. Lett. A , 283 : 113 – 118 .
   Google Scholar
• Fang , Y. and Kincaid , T. G. 1996 . Stability analysis of dynamical neural networks . IEEE Trans. Neural Netw. , 7 : 996 – 1006 .
   PubMed Web of Science ®Google Scholar
• Forti , M. and Tesi , A. 1995 . New conditions for global stability of neural networks with application to linear and quadratic programming problems . IEEE Trans. Circuits Syst. I , 42 : 354 – 366 .
   Google Scholar
• Gahinet , P. , Nemirovski , A. , Laub , A. and Chilali , M. 1995 . LMI Control Toolbox User's Guide , MA : The Mathworks .
   Google Scholar
• Joy , M. 1999 . On global convergence of a class of functional differential equations with applications in neural network theory . J. Math. Anal. Appl. , 232 : 61 – 81 .
   Google Scholar
• Liang , X. B. and Wu , L. D. 1999 . Global exponential stability of a class of neural circuits . IEEE Trans. Circuits Syst. I , 46 : 748 – 751 .
   Google Scholar
• Liao , X. F. , Chen , G. R. and Sanchez , E. N. 2002 . Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach . Neural Netw. , 15 : 855 – 866 .
   PubMed Web of Science ®Google Scholar
• Liu , Z. and Liao , L. 2004 . Existence and global exponential stability of periodic solution of cellular neural networks with time varying delays . J. Math. Anal. Appl. , 290 : 247 – 262 .
   Google Scholar
• Michel , A. N. and Liu , D. 2002 . Qualitative Analysis and Synthesis of Recurrent Neural Networks , New York : Marcel Dekker .
   Google Scholar
• Park , J. H. , Kwon , O. M. and Lee , S. M. 2008 . LMI optimization approach on stabilty for delayed neural networks of neutral-type . Appl. Math. Comput. , 196 : 236 – 249 .
   Web of Science ®Google Scholar
• Qiu , J. and Cao , J. 2007 . Delay-dependent robust stability of neutral-type neural networks with time delays . J. Math. Control Sci. Appl. , 1 : 179 – 188 .
   Google Scholar
• Van den Driessche , P. and Zou , X. 1998 . Global attractivity in delayed Hopfield neural network models . SIAM J. Appl. Math. , 6 : 1878 – 1890 .
   Google Scholar
• Xu , S. , Lam , J. , Ho , D. W.C. and Zou , Y. 2005 . Delay-dependent exponential stability for a class of neural networks with time delays . J. Comput. Math. Appl. , 183 : 16 – 28 .
   Web of Science ®Google Scholar
• Zhang , J. 2003 . Global stability analysis in delayed cellular neural networks . Comput. Math. Appl. , 45 : 1707 – 1720 .
   Google Scholar
• Zhang , Q. , Wei , X. and Xu , J. 2003 . Global exponential convergence analysis of delayed neural networks with time varying delays . Phys. Lett. A , 318 : 537 – 544 .
   Web of Science ®Google Scholar