References
References
- Chen , CF and Hsiao , CH . 1965 . A state-space approach to Walsh series solution of linear systems . Int. J. System Sci. , 6 : 833 – 858 .
- Rao GP 1983 Piecewise Constant Orthogonal Functions and Their Application to Systems and Control Berlin Springer-Verlag
- Krueger , K and Knoop , M . 1990 . Design of an optimal time-varying state variable feedback by means of an algebraisation method . Automatisierungstechnik , 38 : 343 – 350 .
- Rao , VP and Rao , KR . 1979 . Optimal feedback control via block-pulse functions . IEEE Trans. Autom. Control , 24 : 372 – 374 .
- Hwang , C and Shin , YP . 1981 . Laguerre operational matrices for fractional calculus and applications . Int. J. Control , 34 : 557 – 584 .
- Chang , RY and Wang , ML . 1984 . ‘Legendre polynomials approximation to dynamical linear state-space equations with initial and boundary value conditions . Int. J. Control , 40 : 215 – 232 .
- Burrus CS Gopinath RA Guo H 1998 Introduction to Wavelets and Wavelet Transforms Upper Saddle River NJ Prentice-Hall
- Ohkita , M and Kobayashi , Y . 1986 . An application of rationalized Haar functions to solution of linear differential equations . IEEE Trans. Circuits Syst. , 9 : 853 – 862 .
- Razzaghi , M and Ordokhani , Y . 2002 . A rationalized Haar functions method for nonlinear Fredholm–Hammerstein integral equations . Int. J. Comput. Math. , 79 : 333 – 343 .
- Xie Xin 2002 Wavelet based approach for time domain simulations PhD thesis, Arizona State University
- Karimi , HR , Lohmann , B , Jabedar Maralani , P and Moshiri , B . 2004 . A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets . Int. J. Comput. Math. , 81 : 1121 – 1132 .
- Kokotovic PV Khalil RE O'Reilly J 1986 Singular Perturbation Methods in Control: Analysis Design New York Academic Press
- Saksena , VR , O'Reilly , J and Kokotovic , PV . 1984 . Singular perturbations and time-scale methods in control theory: survey 1976–1983 . Automatica , 20 : 273 – 293 .
- Haar , A . 1910 . Zur Theorie der orthogonalen Funktionensysteme . Math. Annal. , 69 : 331 – 371 .
- Hsiao , CH and Wang , WJ . 2000 . State analysis and parameter estimation of bilinear systems via Haar wavelets . IEEE Trans. Circuits Syst. , 47 : 246 – 250 .
- Chen , CF and Hsiao , CH . 1997 . Haar wavelet method for solving lumped and distributed-parameter systems . IEE Proc. Control Theory Appl. , 144 : 87 – 94 .
- Hsiao , CH . 2004 . Solution of variational problems via Haar orthonormal wavelet direct method . Int. J. Comput. Math. , 81 : 871 – 887 .
- Athans M Flab PL 1966 Optimal Control New York McGraw-Hill