Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 343, Issue 1-3, 2005, Pages 117-128

  Papini, Duccio ^a   Taddei, Valentina ^a  

^a UNIVERSITY OF SIENA   (Italy)

Author keywords

Delayed neural networks; Discontinuous dynamical systems; Global exponential stability; Periodic solution

Indexed keywords

DYNAMICAL SYSTEMS; HOPFIELD NEURAL NETWORKS; INITIAL VALUE PROBLEMS; ROBUSTNESS (CONTROL SYSTEMS);

DELAYED HOPFIELD NEURAL NETWORKS; DELAYED NEURAL NETWORKS; DISCONTINUOUS DYNAMICAL SYSTEMS; GLOBAL EXPONENTIAL STABILITY; GLOBALLY EXPONENTIALLY STABLE; INTERCONNECTION MATRICES; PERIODIC COEFFICIENTS; PERIODIC SOLUTION;

CHEMICAL ACTIVATION;

AMPLIFIER; ANALYTIC METHOD; ARTICLE; ARTIFICIAL NEURAL NETWORK; MODEL; PERIODICITY; THEORETICAL STUDY;

EID: 21744455449     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.06.015     Document Type: Article

References (22)

1. V. Makarov, M. Velarde, and J. Wei Nonlinear Phenom. Complex Syst. 5 4 2002 407
2. S. Arik IEEE Trans. Circuits Systems 49 2002 1211
3. K. Gopalsamy, and X. He IEEE Trans. Neural Networks 5 1994 998
4. K. Gopalsamy, and X. He Physica D 76 1994 334
5. T. Liao, and F. Wang IEEE Trans. Neural Networks 11 2000 1481
6. X. Liao, and J. Yu Int. J. Circuits Theor. Appl. 26 1998 011902
7. H. Qi, and L. Qi IEEE Trans. Neural Networks 15 2004 99
8. P. Van Den Driessche, and X. Zou SIAM J. Appl. Math. 58 1998 1878
9. X. Wei, J. Xu, and Q. Zhang Phys. Lett. A 315 2003 431
10. M. Forti, and P. Nistri IEEE Trans. Circuits Systems I 50 2003 1421
11. M. Forti, P. Nistri, D. Papini, Global exponential stability and global convergence in finite time of delayed neural network with infinite gain, IEEE Trans. Neural Networks, in press
12. X. Huang Appl. Math. Mech. 20 10 1999 1116
13. J. Cao, A. Chen, L. Huang, and Z. Liu IEEE Trans. Circuits Systems 50 9 2003 1162
14. J. Cao, and J. Wang IEEE Trans. Neural Networks 13 2 2002 457
15. H. Fang, and J. Li Phys. Rev. E 61 4 2000 4212
16. L. Liao, and Z. Liu J. Math. Anal. Appl. 290 1 2004 247
17. J. Cao, H. Huang, and J. Wang Phys. Lett. A 298 5-6 2002 393
18. S. Guo, and L. Huang Phys. Rev. E 67 1 2003
19. Y. Li Chaos Solitons Fractals 20 3 2004 459
20. A. Filippov Differential Equations with Discontinuous Right-Hand Side Mathematics and its Applications (Soviet Series) 1988 Kluwer Academic Boston, MA
21. A.N. Michel, and R.K. Miller Qualitative Analysis of Large Scale Dynamical Systems 1977 Academic Press New York
22. J. Hale, and S. Lunel Introduction to Functional Differential Equations Applied Mathematical Sciences vol. 99 1993 Springer-Verlag Berlin