State analysis of time-varying singular nonlinear systems via Haar wavelets

Mathematics and Computers in Simulation

Volumn 51, Issue 1-2, 1999, Pages 91-100

  Hsiao, Chun Hui ^a   Wang, Wen June ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Haar wavelets; Singular nonlinear systems; Time varying

Indexed keywords

EID: 0003778082     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(99)00107-X     Document Type: Article

References (15)

1. R.W. Newcomb, The semistate description of nonlinear time-variable circuits, IEEE Transactions on Circuits and Systems 28 (1981) 62-71.
2. S.L. Campbell, Bilinear nonlinear descriptor control systems, CRSC Tech. Rept. 102386-01, Dept. of Math., N.C. State Univ., Raleigh, NC 27695, 1987.
3. N. Declaris, A. Rindos, Semistate analysis of neural networks in Apysia Californica, in: Proc. 27th MSCS, 1984, pp. 686-689.
4. N. Wiener, Cybernetics, MIT Press, Cambridge. MA, 1948.
5. F.L. Lewis, B.G. Mertzios, W. Marszalek, Analysis of singular bilinear systems using Walsh functions, in: IEE Proc. Pt. D, 1991, pp. 89-92.
6. C.F. Chen, C.H. Hsiao, Haar wavelet method for solving lumped and distributed-parameter systems, in: IEE Proc. Pt. D, vol. 144, 1997, pp. 87-94.
7. C.H. Hsiao, State analysis of linear time delayed systems via Haar wavelets, Mathematics and Computers in Simulation 44 (1997) 457-470.
8. C.H. Hsiao, W.J. Wang, State analysis and optimal control of linear time-varying systems via Haar wavelets, Optimal Control Applications and Methods 19 (1998) 423-433.
9. I. Daubechies, The wavelet transform time-frequency localization and signal analysis, IEEE Transactions on Information Theory 36 (1990) 961-1005.
10. A.N. Akansu, R.A. Haddad, Multiresolution Signal Decomposition-Transforms Subbands and Wavelets, Academic Press, New York, 1992.
11. G.P. Rao, K.R. Palanisamy, T. Srinivasan, Extension of computation beyond the limit of initial normal interval in Walsh series analysis of dynamical systems, IEEE Transactions on Automatic Control 25 (1980) 317-319.
12. C.H. Hsiao, W.J. Wang, State analysis and parameter estimation of bilinear systems via Haar wavelets, IEEE Transactions on Circuits and Systems-I: Fundamental Theorey and Applications, to appear.
13. D.H. Shih, F.C. Kung, The shifted Legendre approach to nonlinear system analysis and identification, International Journal of Control 42 (1985) 1399-1410.
14. D.H. Shih, F.C. Kung, Analysis and parameter estimation of nonlinear systems via shifted Chebyshev expansions, International Journal of Systems Science 17 (1986) 231-240.
15. T.T. Lee, Y.F. Chang, Analysis parameter estimation and optimal control of nonlinear systems via general orthogonal polynomials, International Journal of Control 44 (1986) 1089-1102.