Synchronization control of discontinuous neural networks via approximation

2010 Chinese Control and Decision Conference, CCDC 2010

Volumn , Issue , 2010, Pages 782-787

  Liu, Xiaoyang ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Delayed neural networks; Discontinuous activation functions; Filippov solution; Generalized derivative; LMI approach; Synchronization

Indexed keywords

ACTIVATION FUNCTIONS; DELAYED NEURAL NETWORKS; FILIPPOV SOLUTIONS; GENERALIZED DERIVATIVES; LMI APPROACH;

FREQUENCY SELECTIVE FADING; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; SYNCHRONIZATION;

NEURAL NETWORKS;

EID: 77955357644     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2010.5498122     Document Type: Conference Paper

References (16)

1. J. Cortés, Discontinuous dynamical systems, IEEE Control Systems Magazine, Vol.28, No.3, 36-73, 2008.
2. X. Liu, J. Cao, On periodic solutions of neural networks via differential inclusions, Neural Networks, Vol.22, 329-334, 2009.
3. J. Liang, Z. Wang, Y. Liu, X. Liu, Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances, IEEE Transactions on Systems, Man, and Cybernetics - Part B, Vol.38, No.4, 1073-1083, 2008.
4. M. Forti, P. Nistri, Global convergence of neural networks with discontinuous neuron activations, IEEE Trans. Circuits Syst-I, Vol.50, No.11, 1421-1435, 2003.
5. M. Forti, P. Nistri, D. Papini, Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain, IEEE Trans. Neural Networks, Vol.16, No.6, 1449-1463, 2005.
6. A. F. Filippov, Differential equations with discontinuous right-hand side, Mathematics and its Applications (Soviet Series). Kluwer Academic Publishers: Boston. 1988.
7. W. L. Lu, T. P. Chen, Almost periodic dynamics of a class of delayed neural networks with discontinuous activations, Neural Computation, Vol.20, 1065-1090, 2008.
8. M. Danca, Synchronization of switch dynamical systems, International Journal of Bifurcation and Chaos, Vol.12, No.8, 1813-1826, 2002.
9. S. Tielong, Analysis and control of discontinuous dynamical systems, Proc. 26th Chinese Control Conference, 37-45, 2007.
10. L. M. Pecora, T. L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett., Vol.64, 821-824, 1990.
11. A. C. Luo, A theory for synchronization of dynamical systems, Communications in Nonlinear Science and Numerical Simulation, Vol. 14, 1901-1951, 2009.
12. J. P. Aubin, A. Cellina, Differential inclusions, Springer: Berlin. 1984.
13. J. P. Aubin, H. Frankowska, Set-valued analysis, Birkhauser: Boston.1990.
14. X. P. Xue, J. F. Yu, Periodic solutions for semi-linear evolution inclusions, J. Mathematical Analysis and Applications, Vol.331, 1246-1262, 2007.
15. J. K. Hale, Theory of functional differential equations. New York: Springer-Verlag, 1977.
16. H. T. Lu, Chaotic attractors in delayed neural networks, Physics Letters A, Vol.298, 109-116, 2002.