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Volumn 18, Issue 2, 2008, Pages 213-222

Controllability and observability of linear discrete-time fractional-order systems

Author keywords

Controllability; Controllability and observability Gramians; Discrete fractional state space systems; Observability; Reachability; System modeling

Indexed keywords

CONTINUOUS TIME SYSTEMS; CONTROL THEORY; CONTROLLABILITY; EIGENVALUES AND EIGENFUNCTIONS; OBSERVABILITY; STRUCTURAL PROPERTIES;

EID: 45849121358     PISSN: 1641876X     EISSN: None     Source Type: Journal    
DOI: 10.2478/v10006-008-0019-6     Document Type: Article
Times cited : (87)

References (35)
  • 1
    • 45849104434 scopus 로고    scopus 로고
    • Antsaklis P.J. and Michel A.N. (1997). Linear Systems, McGraw-Hill, New York. 2 Åström K. J. and Wittenmark B. (1996). Computer- Controlled Systems, Theory and Design, 3rd Ed., Prentice Hall Inc., New Jersey.
    • Antsaklis P.J. and Michel A.N. (1997). Linear Systems, McGraw-Hill, New York. 2 Åström K. J. and Wittenmark B. (1996). Computer- Controlled Systems, Theory and Design, 3rd Ed., Prentice Hall Inc., New Jersey.
  • 5
    • 33646373227 scopus 로고    scopus 로고
    • Discrete-time systems with time-varying time delay: Stability and stabilizability
    • Boukas E.K. (2006). Discrete-time systems with time-varying time delay: Stability and stabilizability, Mathematical Problems in Engineering, bf 2006 (ID42489): 1-10.
    • (2006) Mathematical Problems in Engineering, bf 2006 (ID42489) , pp. 1-10
    • Boukas, E.K.1
  • 12
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • A. Carpintieri and F. Mainardi, Eds, Vienna, New York, Springer Verlag
    • Gorenflo R. and Mainardi F. (1997). Fractional calculus: Integral and differential equations of fractional order, in (A. Carpintieri and F. Mainardi, Eds.) Fractals and Fractional Calculus in Continuum Mechanics, Vienna, New York, Springer Verlag.
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics
    • Gorenflo, R.1    Mainardi, F.2
  • 13
    • 1842684683 scopus 로고    scopus 로고
    • Hanyga A. (2003). Internal variable models of viscoelasticity with fractional relaxation laws, Proceddings of Design Engineering Technical Conference, Mechanical Vibration and Noise, 48395, American Society of Mechanical Engineers, Chicago, USA.
    • Hanyga A. (2003). Internal variable models of viscoelasticity with fractional relaxation laws, Proceddings of Design Engineering Technical Conference, Mechanical Vibration and Noise, 48395, American Society of Mechanical Engineers, Chicago, USA.
  • 14
    • 0032003029 scopus 로고    scopus 로고
    • On linear system with a fractional derivation: Introductory theory and examples
    • Hotzel R. and Fliess M.(1998). On linear system with a fractional derivation: Introductory theory and examples, Mathematics and Computers in Simulation45 (3): 385-395.
    • (1998) Mathematics and Computers in Simulation , vol.45 , Issue.3 , pp. 385-395
    • Hotzel, R.1    Fliess, M.2
  • 15
    • 0010178279 scopus 로고
    • An analog simulation of non integer order transfer functions for analysis of electrode processes
    • Ichise M., Nagayanagi Y. and Kojima T. (1971). An analog simulation of non integer order transfer functions for analysis of electrode processes, Journal of Electroanalytical Chemistry33(2): 253-265.
    • (1971) Journal of Electroanalytical Chemistry , vol.33 , Issue.2 , pp. 253-265
    • Ichise, M.1    Nagayanagi, Y.2    Kojima, T.3
  • 18
    • 0001595866 scopus 로고
    • The non-integer integral and its application to control systems
    • Manabe S. (1960). The non-integer integral and its application to control systems, Japanese Institute of Electrical Engineers Journal 80(860): 589-597.
    • (1960) Japanese Institute of Electrical Engineers Journal , vol.80 , Issue.860 , pp. 589-597
    • Manabe, S.1
  • 21
    • 0002210275 scopus 로고    scopus 로고
    • Some results on controllability and observability of finite-dimensional fractional differential systems
    • Lille, France, pp
    • Matignon D. and d'Andrèa-Novel B. (1996). Some results on controllability and observability of finite-dimensional fractional differential systems, Proceedings of the IMACS, IEEE SMC Conference, Lille, France, pp. 952-956.
    • (1996) Proceedings of the IMACS, IEEE SMC Conference , pp. 952-956
    • Matignon, D.1    d'Andrèa-Novel, B.2
  • 22
    • 0002731965 scopus 로고    scopus 로고
    • Stability results on fractional differential with application to control processing
    • Lille, France, pp
    • Matignon D. (1996). Stability results on fractional differential with application to control processing, Proceedings of the IAMCS, IEEE SMC Conference, Lille, France, pp. 963-968.
    • (1996) Proceedings of the IAMCS, IEEE SMC Conference , pp. 963-968
    • Matignon, D.1
  • 24
    • 19044384354 scopus 로고
    • Sur la reprèsentation analytique d'une branche uniforme d'une fonction monogène
    • Mittag-Leffler G. (1904). Sur la reprèsentation analytique d'une branche uniforme d'une fonction monogène, Acta Mathematica29: 10-181.
    • (1904) Acta Mathematica , vol.29 , pp. 10-181
    • Mittag-Leffler, G.1
  • 30
    • 0343715573 scopus 로고    scopus 로고
    • State-space representation for fractional-order controllers
    • Raynaud H. F., Zergainoh, A. (2000). State-space representation for fractional-order controllers, Automatica36(7): 1017-1021.
    • (2000) Automatica , vol.36 , Issue.7 , pp. 1017-1021
    • Raynaud, H.F.1    Zergainoh, A.2
  • 33
    • 33646729035 scopus 로고    scopus 로고
    • Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation
    • Sierociuk D. and Dzieliński A. (2006). Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation, International Journal of Applied Mathematics and Computer Science16(1): 129-140.
    • (2006) International Journal of Applied Mathematics and Computer Science , vol.16 , Issue.1 , pp. 129-140
    • Sierociuk, D.1    Dzieliński, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.