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Section B

A numerical approach of optimal control for generalized delay systems by general Legendre wavelets

Pages 743-752 | Received 13 Oct 2006, Accepted 23 Sep 2007, Published online: 24 Mar 2009

References

  • Chen , C. F. and Hsiao , C. H. 1975 . Walsh series analysis in optimal control . Int. J. Control. , 21 : 881 – 897 .
  • Horng , I. R. and Chou , J. H. 1985 . Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series . Int. J. Control , 41 : 1221 – 1234 .
  • Hsu , N. S. and Chang , B. 1989 . Analysis and optimal control of time-varying linear systems via block-pulse functions . Int. J. Control , 33 : 1107 – 1122 .
  • Hwang , C. and Shih , Y. P. 1983 . Laguerre series direct method for variational problems . J. Optim. Theory Appl. , 39 : 143 – 149 .
  • Lee , H. and Kung , F. C. 1985 . Shifted Legendre series solution and parameter estimation of linear delayed systems . Int. J. Sys. Sci. , 16 : 1249 – 1256 .
  • Maleknejad , K. and Mahmoudi , Y. 2004 . Numerical solution of linear Fredholm integral equation by using hybrid Taylor and block-pulse functions . Appl. Math. Comput. , 149 : 799 – 806 .
  • Marzban , H. R. and Razzaghi , M. 2003 . Hybrid functions approach for linearly constrained quadratic optimal control problems . Math. Comput. Modelling , 27 : 471 – 485 .
  • Razzaghi , M. and Razzaghi , M. 1988 . Fourier series direct method for variational problems . Int. J. Control , 48 : 887 – 895 .
  • Razzaghi , M. and Yousefi , S. 2000 . Legendre wavelets direct method for variational problems . Math. Comput. Simul. , 53 : 185 – 192 .
  • Wang , X. T. 2006 . Numerical solution of delay systems containing inverse time by hybrid functions . Appl. Math. Comput. , 173 : 535 – 546 .
  • Wang , X. T. 2006 . Numerical solutions of time-varying generalized delay systems via general legendre wavelets . Int. J. Innovative Comput. Inf. Control , 2 : 1355 – 1363 .
  • Wang , X. T. 2007 . Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functins and Legendre polynomials . Appl. Math. Comput. , 184 : 849 – 856 .

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