Complex-valued Zhang neural network for online complex-valued time-varying matrix inversion

Applied Mathematics and Computation

Volumn 217, Issue 24, 2011, Pages 10066-10073

  Zhang, Yunong ^a   Li, Zhan ^a   Li, Kene ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

Complex valued recurrent neural network; Complex valued time varying matrix inversion; Complex valued Zhang neural network; Matrix valued error function; Superior convergence

Indexed keywords

COMPLEX-VALUED RECURRENT NEURAL NETWORKS; COMPLEX-VALUED ZHANG NEURAL NETWORK; MATRIX-VALUED ERROR FUNCTION; SUPERIOR CONVERGENCE; TIME VARYING;

COMPUTER SIMULATION; MATRIX ALGEBRA; RECURRENT NEURAL NETWORKS; TIME VARYING SYSTEMS;

TIME VARYING NETWORKS;

EID: 79959214615     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.04.085     Document Type: Article

References (17)

1. Y. Zhang, and J. Wang A dual neural network for convex quadratic programming subject to linear equality and inequality constraints Phys. Lett. A 298 2002 271 278
2. D. Jwo, and C. Lai Neural network-based GPS GDOP approximation and classification GPS Solutoins 11 2007 51 60 (Pubitemid 44837259)
3. S.S. Ge, T.H. Lee, and C.J. Harris Adaptive Neural Network Control of Robotic Manipulators 1998 World Scientific London, UK
4. R.H. Sturges Jr. Analog matrix inversion (robot kinematics) IEEE J. Robot. Autmat. 4 1988 157 162
5. R.J. Steriti, and M.A. Fiddy Regularized image reconstruction using SVD and a neural network method for matrix inversion IEEE Trans. Sign. Proc. 41 1993 3074 3077
6. Y. Zhang, and W.E. Leithead Exploiting Hessian matrix and trust-region algorithm in hyperparameters estimation of Gaussian process Appl. Math. Comput. 171 2005 1264 1281 (Pubitemid 43131111)
7. T. Sarkar, K. Siarkiewicz, and R. Stratton Survey of numerical methods for solution of large systems of linear equations for electromagnetic field problems IEEE Trans. Antenn. Propag. 29 1981 847 856
8. J. Wang A recurrent neural network for real-time matrix inversion Appl. Math. Comput. 55 1993 89 100
9. J. Song, and Y. Yam Complex recurrent neural network for computing the inverse and psedo-inverse of the complex matrix Appl. Math. Comput. 93 1998 195 205
10. Y. Zhang, Y. Shi, K. Chen, and C. Wang Global exponential convergence and stability of gradient-based neural network for online matrix inversion Appl. Math. Comput. 215 2009 1301 1306
11. Y. Zhang, W. Ma, and B. Cai From Zhang neural network to Newton iteration for matrix inversion IEEE Trans. Circuit Syst. I 56 7 2009 1405 1415
12. Y. Zhang, and S.S. Ge Design and analysis of a general recurrent neural network model for time-varying matrix inversion IEEE Trans. Neural Netw. 16 6 2005 1477 1490 (Pubitemid 41709645)
13. Y. Zhang, K. Chen, and H.Z. Tan Performance analysis of gradient neural network exploited for online time-varying matrix inversion IEEE Trans. Automat. Contr. 54 8 2009 1940 1945
14. Y. Zhang, D. Jiang, and J. Wang A recurrent neural network for solving Sylvester equation with time-varying coefficients IEEE Trans. Neural Netw. 13 5 2002 1053 1063
15. Y. Zhang, and Z. Li Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints Phys. Lett. A 373 2009 1639 1643
16. Y. Zhang, C. Yi, and W. Ma Simulation and verification of Zhang neural network for online time-varying matrix inversion Simul. Model. Pract. Theory 17 10 2009 1603 1617
17. C. Mead Analog VLSI and Neural Systems 1989 Addison-Wesley Reading, MA