The haar wavelets operational matrix of integration

International Journal of Systems Science

Volumn 27, Issue 7, 1996, Pages 623-628

  Guf, Jin Sheng ^a   Jiang, Wei Sun ^a  

^a EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; MATRIX ALGEBRA; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

HAAR WAVELETS OPERATIONAL MATRIX; ORTHOGONAL FUNCTIONS; TIME FREQUENCY LOCALIZATION;

WAVELET TRANSFORMS;

EID: 0030196269     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729608929258     Document Type: Article

References (11)

1. Chang, R. Y., and Wang, M. L., 1982, Parameter identification via shifted Legendre polynomials. International Journal of System Science, 13, 1125-1135.
2. Chun, C. E., and Hsiao, C. H., 1975, Walsh scries analysis in optimal control. International Journal of Control, 21, 881-898.
3. Deuiihchies, I., 1988, Orthonormal bases of compactly supported wavelets. Communications on Pure and Applied Mathematics, 41, 909-996
4. Deuiihchies, I., 1992, Ten Lectures on IVavelets (Philadelphia. Pennsylvania, U.S.A.: SIAM).
5. Go, J. S. and Jiang, W, S. 1995, Analysis and optimal control of time-varying linear systems via Haar wavelets. IEEE Transactions on Automatic Control, submitted for publication.
6. Hwang, C., and Shih, Y. P., 1982, Parameter identification via Laguerre polynomials. International Journal of Systems Science, 13, 209-217.
7. King, R-E., and Paraskevopoulos, P. N., 1979, Parametric identification of discrete-time S1SO systems. International Journal of Control, 30, 1023-1029.
8. Paraskevopoulos, P. N., 1983, Chebyshev series approach to system identification, analysis and control. Journal of the Franklin Institute, 316, 135-157.
9. Parskevopoulos, P. N., Sparis, P. D., and Mouroutsos, S. G., 1985, The Fourier series operational matrix of integration. International Journal of Systems Science, 16, 171-176.
10. Sannuti, P., 1977, Analysis and synthesis of dynamic systems via block pulse functions. Proceedings of the Institution of Electrical Engineers, 124, 569-571.
11. Strchartz, R. S., 1993, How to make wavelets? The American Mathematics Monthly, 100, 539-556.