Algebraic modelling of linear systems by means of Walsh functions

References

• Franke , D. , Krüger , K. and Knoop , M. 1992 . Systemdynamik und Reglerentwurf , München : R. Oldenbourg Verlag .
   Google Scholar
• Wahlberg , B. 1991 . IEEE Transactions on Automatic Control , 36 : 551 – 562 .
   Web of Science ®Google Scholar
• de Hoog , Th. J. , Heuberger , P. S.C. and Van den Hof , P. M.J. 2001 . Selected Topics in Signals, Systems and Control , 12 : 81 – 88 .
   Google Scholar
• Chui , C. K. 1992 . Wavelets: A Tutorial in Theory and Applications, Wavelet Analysis and Its Applications 2 , Boston : Academic Press .
   Google Scholar
• Pati , Y. C. and Krishnapasad , P. S. . Rational wavelets in model reduction and system identification . Proc 33rd IEEE Conference on Decision and Control . December 1994 , Lake Buena Vista, Florida. pp. 3394 – 3399 .
   Google Scholar
• Ward , N. F.D. and Partington , J. R. 1995 . Mathematics of Control, Signals and Systems , 8 : 257 – 278 .
   Google Scholar
• Ninness , B. , Hjalmarsson , H. and Gustafsson , F. 1999 . IEEE Transactions on Automatic Control , 44 : 1384 – 1406 .
   Web of Science ®Google Scholar
• Van den Hof , P. M.J. , Heuberger , P. S.C. and Bokor , J. 1995 . Automatica , 31 : 1821 – 1834 .
   Web of Science ®Google Scholar
• Wan , Y. , Dodd , T. J. and Harrison , R. F. 2003 . “ A kernel method for non-linear systems identification – Infinite degree Volterra series estimation ” . Department of Automatic Control & Systems Engineering, The University of Sheffield, Research Report No. 842
   Google Scholar
• D'Angelo , H. 1970 . Linear Time-Varying Systems: Analysis and Synthesis , Boston : Allyn and Bacon .
   Google Scholar
• Emre , E. , Tai , H. M. and Seo , J. H. 1990 . Linear Algebra and its Applications , 141 : 79 – 104 .
   Google Scholar
• Schumacher , A. , Knoop , M. and Moreno , J. 1994 . Ein neues Verfahren zum Entwurf zeitvarianter Ausgangsregler für eine spezielle Klasse linearer zeitvarianter Systeme . Automatisierung Stechnik , 6 : 248 – 253 .
   Google Scholar
• Chen , C. F. and Hsiao , C. H. 1975 . IEE Proceedings , 122 : 565 – 570 .
   Web of Science ®Google Scholar
• Pichler , F. 1968 . Synthese linearer periodisch zeitvariabler Filter mit vorgeschriebenem Sequenzverhalten . Archiv der elektrischen Übertragurg, Band , 22 : 150 – 161 .
   Google Scholar
• Prasada Rao , G. and Sivakumar , L. 1975 . IEE Proceedings , 122 : 1160 – 1161 .
   Google Scholar
• Prasada Rao , G. and Palanisamy , K. R. 1983 . IEE Proceedings , 130 : 9 – 16 .
   Google Scholar
• Chen , C. F. and Hsiao , C. H. 1975 . Journal of Computer and System Sciences International , 6 : 833 – 858 .
   Google Scholar
• Konigorski , U. . Modeling of linear systems and finite deterministic automata by means of Walsh functions . Proc. IMACS Symposium on Mathematical Modelling, 3rd MATHMOD . 2000 , Vienna. Vol. 1 , pp. 399 – 402 .
   Google Scholar
• Harmuth , H. F. 1970 . Sequency Theory , New York : Academic Press .
   Google Scholar
• Walsh , J. L. 1923 . American Journal of Mathematics , 45 : 5 – 24 .
   Web of Science ®Google Scholar
• Gauss , E. 1994 . Walsh-Funktionen für Ingenieure und Naturwissenschaftler , Stuttgart : Teubner Verlag .
   Google Scholar
• Brewer , J. W. 1978 . IEEE Transactions on Circuits and Systems , 25 : 772 – 781 .
   Google Scholar
• Chen , C. F. , Tsay , Y. T. and Wu , T. T. 1977 . Journal of the Franklin Institute , 303 : 267 – 284 .
   Web of Science ®Google Scholar
• Doetsch , G. 1974 . Introduction to the Theory and Application of the Laplace Transformation , Berlin : Springer .
   Google Scholar
• Van Overschee , P. and De Moor , B. 1996 . Subspace Identification for Linear Systems: Theory, Implementation, Applications , Boston : Kluwer Academic .
   Google Scholar
• Freiss , T. T. and Harrison , R. F. 1999 . Journal of Intelligent Data Analysis , 3 : 307 – 313 .
   Google Scholar
• Favoreel , W. , De Moor , B. and Van Overschee , P. 1999 . IEEE Transactions on Automatic Control , 44 : 1157 – 1165 .
   Web of Science ®Google Scholar
• Verdult , V. and Verhaegen , M. 2002 . Automatica , 38 : 805 – 814 .
   Google Scholar