메뉴 건너뛰기




Volumn 1019, Issue , 2008, Pages 127-132

Optimal reduced-order approximation of fractional dynamical systems

Author keywords

Fractional systems; Hankel singular values; Integral representation; Model approximation; Model reduction; Multivariable model; State space representation

Indexed keywords


EID: 49149111298     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.2952963     Document Type: Conference Paper
Times cited : (9)

References (20)
  • 1
    • 0010071833 scopus 로고
    • The non-integer integral and its application to Control systems
    • S. Manabe. The non-integer integral and its application to Control systems. English Translation Journal of Japan, Vol. 3-4, pages 83-87, 1961.
    • (1961) English Translation Journal of Japan , vol.3-4 , pp. 83-87
    • Manabe, S.1
  • 3
    • 49149099976 scopus 로고    scopus 로고
    • A. Oustaloup. La Dérivation non entière : Théorie, synthèse et application. Editions Hermès, Paris, 1995.
    • A. Oustaloup. La Dérivation non entière : Théorie, synthèse et application. Editions Hermès, Paris, 1995.
  • 6
    • 0001611264 scopus 로고    scopus 로고
    • Some approximations of fractional order operators used in control theory and applications
    • B. M. Vinagre, I. Podlubny, A. Hernandez and V Feliu. Some approximations of fractional order operators used in control theory and applications. Fractional Calculus & applied Analysis, Vol. 3, n 3, pages 231-248, 2000.
    • (2000) Fractional Calculus & applied Analysis , vol.3 , Issue.3 , pp. 231-248
    • Vinagre, B.M.1    Podlubny, I.2    Hernandez, A.3    Feliu, V.4
  • 9
    • 33748554882 scopus 로고    scopus 로고
    • Modeling and analog realization of the fundamental linear fractional order differential equation
    • A. Charef. Modeling and analog realization of the fundamental linear fractional order differential equation. Nonlinear Dynamics, Vol. 46, pages 195-210, 2006.
    • (2006) Nonlinear Dynamics , vol.46 , pp. 195-210
    • Charef, A.1
  • 10
    • 49149114413 scopus 로고    scopus 로고
    • R. L. Magin. Fractional calculus in bioengineering. Begell House Punlishers, Inc., Connecticut, 2006.
    • R. L. Magin. Fractional calculus in bioengineering. Begell House Punlishers, Inc., Connecticut, 2006.
  • 14
    • 49149093261 scopus 로고    scopus 로고
    • submitted to Mathematical and Computer Modelling February 2008
    • R. Mansouri, M. Bettayeb and S. Djennoune. Multivariable fractional order system approximation using integral representation, submitted to Mathematical and Computer Modelling February 2008.
    • Mansouri, R.1    Bettayeb, M.2    Djennoune, S.3
  • 15
    • 49149106918 scopus 로고    scopus 로고
    • Multivariable fractional order system approximation using derivative representation
    • R. Mansouri M. Bettayeb and S. Djennoune. Multivariable fractional order system approximation using derivative representation. International Journal of Applied Mathematics, Vol. 20, n 7, pages 983-1003, 2007.
    • (2007) International Journal of Applied Mathematics , vol.20 , Issue.7 , pp. 983-1003
    • Mansouri, R.1    Bettayeb, M.2    Djennoune, S.3
  • 17
    • 0021441691 scopus 로고
    • All optimal Hankel-norm approximations of linear multivariable systems and their ¿roo-error bounds
    • K. Glover. All optimal Hankel-norm approximations of linear multivariable systems and their ¿roo-error bounds. International Journal of Control, Vol. 39, pages 1115-1193, 1984.
    • (1984) International Journal of Control , vol.39 , pp. 1115-1193
    • Glover, K.1
  • 19
    • 0024750490 scopus 로고
    • Singular perturbation approximation of balanced systems
    • . Y. Liu, and B. D. O. Anderson. Singular perturbation approximation of balanced systems. International Journal of Control, Vol. 50, pages 1379-1405, 1989.
    • (1989) International Journal of Control , vol.50 , pp. 1379-1405
    • Liu, Y.1    Anderson, B.D.O.2
  • 20
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, Observability and model reduction
    • B. C. Moore. Principal component analysis in linear systems: Controllability, Observability and model reduction. IEEE Transactions on Automatic Control. Vol. AC-26, pages 17-31, 1981.
    • (1981) IEEE Transactions on Automatic Control , vol.AC-26 , pp. 17-31
    • Moore, B.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.