Optimal control of singular systems VIA legendre series

References

• Balaehandran , K. and Murugesan , K. 1992 . Optimal control of singular systems via single-term Walsh series . Intern, J. Computer Math. , 43 : 153 – 159 .
   Web of Science ®Google Scholar
• Campbell , S.L. 1980 . Singular systems of differential equations , London : Pitman .
   Google Scholar
• Campbell , S.L. , Meyer , C.D. and Rose , N.J. 1976 . Application of the Drazian inverse for linear systems of differential equations with singular constant coefficients . SIAM J. Appl Math. , 31 : 425 – 611 .
   Web of Science ®Google Scholar
• Canuto , C. , Hussaini , M.Y. and Zang , T.A. 1988 . Spectral Methods in Fluid Dynamics , New York : Springer-Verlag .
   Google Scholar
• Corrington , M.S. 1973 . Solutions of differential and integral equations with Walsh functions . IEEE Trans. Circuit Theory , 20 : 470 – 476 .
   Google Scholar
• Hwang , C. and Shih , Y.P. 1985 . Optimal control of delay systems via Block pulse functions . J. Optim, Theory and App. , 45 : 101 – 112 .
   Web of Science ®Google Scholar
• Hwang , C. and Shih , Y. 1982 . Comput. and Elect. Engrg. , 9 : 123 – 129 .
   Web of Science ®Google Scholar
• Lancaster , P. 1969 . Theory of Matrices , New York : Academic Press .
   Google Scholar
• Marszalek , W. 1985 . On using orthogonal functions for the analysis of singular systems . IEE Proc. D., Control Theory and Appl. , 132 : 131 – 132 .
   Web of Science ®Google Scholar
• Marszalek , W. 1990 . Orthogonal functions analysis of singular systems with impulsive responses . IEE Proc, D., Control Theory and Appl. , 137 : 84 – 86 .
   Web of Science ®Google Scholar
• Perng , M.H. 1986 . Direct approach for the optimal control of linear time-delay systems via shifted Legendre polynomials . Int. J. Control , 43 : 1897 – 1904 .
   Web of Science ®Google Scholar
• Razzaghi , M. and Razzaghi , M. 1990 . Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Cnebyshev . J. Franklin Institute , 327 : 321 – 328 .
   Web of Science ®Google Scholar
• Razzaghi , M. , Razzaghi , M. and Arabshahi , A. 1990 . Solutions of convolution integral and Fredholm integral equation via double Fourier series . Applied Math, and Computation , 40 : 215 – 224 .
   Web of Science ®Google Scholar
• Trazaska , Z. 1986 . Computation of block-pulse solution of singular systems . IEE Proc. D., Control Theory and Appl. , 133 : 191 – 192 .
   Web of Science ®Google Scholar