The solutions of vibration control problems using artificial neural networks

Journal of the Franklin Institute

Volumn 340, Issue 5, 2003, Pages 307-325

  Alli, Hasan ^a   Uçar, Aysegül ^a   Demir, Yakup ^a  

^a FIRAT UNIVERSITY   (Turkey)

Author keywords

Artificial neural networks; Backpropagation algorithm; Vibration control problems

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; INITIAL VALUE PROBLEMS; NEURAL NETWORKS; ORDINARY DIFFERENTIAL EQUATIONS;

BACKPROPAGATION ALGORITHMS;

VIBRATION CONTROL;

EID: 0242365793     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(03)00036-X     Document Type: Article

References (20)

1. Lima P.M., Carpentier M.P. Iterative methods for a singular boundary-value problem. J. Comput. Appl. Math. 111:1999;173-186.
2. Guoqiang H., Jiong W., Hayami K., Yuesheng X. Correction method and extrapolation method for singular two-point boundary value problems. J. Comput. Appl. Math. 126:2000;145-157.
3. Kincaid D., Cheney W. Numerical Analysis. 1991;Brooks/Cole, Monterey, CA.
4. Yee K.S. Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media. IEEE Trans. Antennas Propagation. AP-14:1996;302-307.
5. Hunter P., Pullan A. FEM/BEM Notes, Department of Engineering Science. 1997;The University of Auckland, New Zealand.
6. Kolbehdari M.A., Nakhla M.S., Sadiku M.N.O. Hybrid model of scattering from eccentrically nested dielectric cylinders. J. Franklin Inst. 225B:1999;43-51.
7. Jacobsohn G. A discrete Taylor series method for the solution of two-point boundary-value problems. J. Franklin Inst. 338:2001;61-68.
8. Guoyou Y., Mansur W.J., Carrer J.A.M., Gong L. Stability of Galerkin and collocation time domain boundary element methods as applied to the scalar wave equation. Comput. Struct. 74:2000;495-506.
9. Meirovitch L., Stemple T.J. A new approach to the modeling of distributed structures for control. J. Franklin Instit. 338:2001;241-254.
10. Lee W-S., Ko Y-H., Ji C-C. A study of an inverse method for the estimation of impulsive heat flux. J.Franklin Inst. 337:2000;661-671.
11. Kouatchou J. Parallel implementation of a high-order implicit collocation method for the heat equation. Math. Comput. Simul. 54:2001;509-519.
12. Bialecki B., Fairweather G. Orthogonal spline collocation methods for partial differential equations. J. Comput. Appl. Math. 128:2001;55-82.
13. Nguyen-Thien T., Tran-Cong T. Approximation of functions and their derivatives. a neural network implementation with applications Appl. Math. Modell. 23:1999;687-704.
14. He S., Reif K., Unbehauen R. Multilayer neural networks for solving a class of partial differential equations. Neural Networks. 13:2000;385-396.
15. Karr C.L., Yakushin I., Nicolosi K. Solving inverse initial-value, boundary-value problems via genetic algorithm. Eng. Appl. Artif. Intell. 13:2000;625-633.
16. Mai-Duy N., Tran-Cong T. Numerical solution of differential equations using multiquadric radial basis function networks. Neural Networks. 14:2001;185-199.
17. Lagaris I.E., Likas A., Fotiadis D.I. Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans. Neural Networks. 9(5):1998;987-1000.
18. Lagaris I.E., Likas A., Papageorgio D.G. Neural-network methods for boundary value problems with irregular boundaries. IEEE Trans. Neural Networks. 11(5):2000;1041-1049.
19. Hines J.W. Fuzzy and Neural Approaches in Engineering MATLAB Supplement. 1997;Prentice-Hall, Englewood Cliffs, NJ.
20. Slotine J-J.E., Li W. Applied Nonlinear Control. 1991;Prentice-Hall, Englewood, Cliffs NJ.