Analog computing for real-time solution of time-varying linear equations

2004 International Conference on Communications, Circuits and Systems

Volumn 2, Issue , 2004, Pages 1367-1371

  Jiang, Danchi ^a,b  

^a CSIRO   (Australia)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Implicit recurrent neural network; Real time computation; Sylvester equation; Time varying linear equations

Indexed keywords

COMPUTER SIMULATION; ITERATIVE METHODS; LINEAR EQUATIONS; OPTIMIZATION; REAL TIME SYSTEMS; RECURRENT NEURAL NETWORKS; TIME VARYING SYSTEMS; VLSI CIRCUITS;

IMPLICIT RECURRENT NEURAL NETWORK (IRNN) MODEL; REAL-TIME COMPUTATION; SYLVESTER EQUATIONS; TIME-VARYING LINEAR EQUATIONS;

ANALOG COMPUTERS;

EID: 11244333372     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. A. Cichocki and R. Unbehauen. Neural network for solving systems of linear equations and related problems. IEEE Transactions on Circuits and Systems, 39:124-138, 1992.
2. A. Cichocki and R. Unbehauen. Neural network for solving systems of linear equations-part ii. minimax and least absolute value problems. IEEE Transactions on Circuits and Systems, 39:619-633, 1992.
3. J. Wang. Recurrent neural networks for solving linear matrix equations. Comput. Math. Applicat., 26:23-34, 1993.
4. D. W. Tank & J. J. Hopfield. Simple neural optimization networks: An a/d converter, signal decision circuit, and a linear programming circuit. IEEE Trans. Circuits and Systems, 33(5):533-541, 1986.
5. A. Cichocki and R. Unbehauen. Neural Networks for Optimization and Signal Processing. John Wiley & Sons, England, 1993.
6. Y. Takefuji and J. Wang (eds). Neural Computing for Optimization and Combinatics. World Scientific, Singapore, 1996.
7. Y. Zhang D. Jiang and J. Wang. A recurrent neural network for solving sylvester equation with time-varying coefficients. IEEE Transactions on Neural Networks, 13(5): 1053-1063, 2002.
8. J. Wang and G. Wu. A multilayer recurrent neural network for on-line synthesis of minimum-norm linear feedback control systems via pole assignment. Automatica, 32(3):435-442, 1996.
9. G. H. Golub and C. F. Van Loan. Matrix Computation. North Oxford Academic, Oxford, 1986.
10. S. Van Huffel and J. Vandewalle. Analysis and properties of the generalized total least square problem ax ≈ b when some or all columns in a are subject to errors. SIAM J. Matrix Anal. Appl., 10:294-315, 1989.
11. C. A. Mead. Analog VLSI and Neural Systems. Addison-Wesley, United States of America, 1989.
12. R. Unbehauen and A. Cichocki. MOS switched-Capacitor and Continuous-Time Integrated Circuits and Systems - Analysis and Design. Springer-Verlag, New York, 1993.
13. R. A. Horn and Johnson C. R. Topics in Matrix Analysis. Cambridge University Press, Cambridge, New York, 1991.