Modeling and simulation of Zhang neural network for online linear time-varying equations solving based on MATLAB Simulink

Proceedings of the 7th International Conference on Machine Learning and Cybernetics, ICMLC

Volumn 2, Issue , 2008, Pages 805-810

  Zhang, Yu Nong ^a   Guo, Xiag Jiao ^a   Ma, Wei Mu ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

Implicit dynamics; MATLAB Simulink modeling; Recurrent neural network; Timevarying linear equations

Indexed keywords

CONTROL THEORY; CYBERNETICS; DIGITAL SIGNAL PROCESSING; DYNAMICS; LEARNING SYSTEMS; MATLAB; METROPOLITAN AREA NETWORKS; NEURAL NETWORKS; ROBOT LEARNING; TIME VARYING NETWORKS; TIME VARYING SYSTEMS; ZINC COMPOUNDS;

ALGEBRAIC EQUATIONS; COMPUTATIONAL ERRORS; EQUATIONS SOLVING; ERROR FUNCTIONS; IMPLICIT DYNAMICS; LINEAR TIMES; MODELING AND SIMULATIONS; MODELING RESULTS; MONITORING FUNCTIONS; NETWORK SYSTEMS; NEURAL DYNAMICS; ONLINE TIMES; TIMEVARYING LINEAR EQUATIONS;

RECURRENT NEURAL NETWORKS;

EID: 57849119222     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICMLC.2008.4620514     Document Type: Conference Paper

References (19)

1. 2)- operation approximation of covariance matrix inverse in Gaussian process regression based on quasi-Newton BFGS methods," Communications in Statistics - Simulation and Computation, Vol 36, No. 2, pp. 307-380, 2007.
2. R. J. Stenti and M. A, Fiddy, "Regularized image reconstruction using SVD and a neural network method for matrix inversion," IEEE Transactions on Signal Processing, Vol 41, No. 10, pp. 3074-3077. 1993.
3. T. Sarkar, K Siarkiewicz, and R. Stratton, "Survey of numerical methods for solution of large systems of linear equations tor electromagnetic field problems"", IEEE Transactions on Antennas and Propagation, Vol 29, No. 6, pp. 847-856, 1981.
4. R. H. Sturges Jr, "Analog matrix inversion (robot kinematics,)," IEEE Journal of Robotics and Automation, Vol 4, No. 2, pp. 157-162, 1988.
5. 2)-operations and O(N)-level storage," Proceedings ol the 44th IEEE Conference on Decision and Control, pp. 3711-3710, 2005.
6. R. K. Manherz, B. W. Jordan, and S. L. Hakimi, "Analog methods for computation of the generalized inverse", IEEE Transactions on Automatic Control, Vol 13, No. 5, pp. 582-585, 1968.
7. J. Jang, S. Lee, and S Shin, "An optimization network for matrix inversion". Neural Information Processing Systems, American Institute of Physics, NY; pp. 397-401, 1988
8. Y. Zhang and S. S. Ge, "A general recurrent neural network model for time-varying matrix inversion,"' Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 0109-0174, 2003
9. Y. Zhang. D. Jiang, and J Wang, "A recurrent neural network for solving Sylvester equation with timevarying coefficients'", IEEE Transactions on Neural Networks. Vol 13. No. 5, pp 1053-1063, 2002
10. Y. Zhang and S. S. Ge, "Design and analysis of a general recurrent neural network model for time-varying matrix inversion". IEEE Transactions on Neural Networks, Vol 16. No. 6, pp. 1477-1490, 2005.
11. K. S. Yeungand F. Kumbi. "Symbolic matrix inversion with application to electronic circuits," IEEE Tiansactions on Circuits and Systems, Vol 35, No. 2, pp. 235-238, 1988.
12. A. El-Amawy, "A systolic architecture for fast dense matrix inversion." IEEE Transactions on Computers, Vol 38, No. 3, pp. 449-455, 1989.
13. N, C. F. Carneiro and L. P. Caloba, "A new algorithm for analog matrix inversion", Proceedings of the 38th Midwest Symposium on Circuits and Systems, Vol 1, pp. 401-404, 1995.
14. C. Mead, Analog VLSI and neural systems, Addison-Wesley, Reading. Mass.: 1989.
15. Y Zhang, "A set of nonlinear equations and inequalities arising in robotics and its online solution via a primal neural network," Neurocomputing, Vol 70, pp. 513-524, 2006.
16. M A. Shanblatt and B. Foulds, "A Simulink-to-FPGA implementation tool for enhanced design flow." Proceeding of IEEE International Conference on Microelectronic Systems Education, pp. 89-90, 2005.
17. I. A. Grout. "Modeling, simulation and synthesis: from Simulmk to VHDL generated hardware," Proceedings ot the 5th World Multi-Conference on Systemics, Cybernetics and Intormatic, Vol 15, pp. 443-448, 2001.
18. I. A Grout and K. Keane, "A Matlab to VHDL conversion toolbox for digital control," IFAC Symposium on Computer Aided Control Systems Design, Salford, UK. 11-13 September 2000.
19. Y. Zhang and IT. Peng. "Zhang neural network for linear time-varying equation solving and its robotic application", Proceedings of the 6th International Conference on Machine Learning and Cybernetics. Hong Kong, pp 3543-3548, 2007.