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Volumn 107, Issue , 2015, Pages 198-217

Discrete-time differential systems

Author keywords

Delta Laplace transform; Discrete time; Fractional; Nabla Laplace transform; Time scale

Indexed keywords

CONTINUOUS TIME SYSTEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIGITAL SIGNAL PROCESSING; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY RESPONSE; IMPULSE RESPONSE; LINEAR SYSTEMS; Z TRANSFORMS;

EID: 85028143809     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2014.03.004     Document Type: Article
Times cited : (65)

References (43)
  • 6
    • 0004253247 scopus 로고
    • second edition Chelsea Publishing Company New York
    • C. Jordan Calculus of Finite Differences second edition 1950 Chelsea Publishing Company New York
    • (1950) Calculus of Finite Differences
    • Jordan, C.1
  • 10
    • 0028396196 scopus 로고
    • Delta-operator formulated discrete-time approximations of continuous-time systems
    • K. Premaratne, R. Salvi, N.R. Habib, and J.P. LeGall Delta-operator formulated discrete-time approximations of continuous-time systems IEEE Trans. Autom. Control 39 March (3) 1994 581 585
    • (1994) IEEE Trans. Autom. Control , vol.39 , Issue.MAR. 3 , pp. 581-585
    • Premaratne, K.1    Salvi, R.2    Habib, N.R.3    Legall, J.P.4
  • 11
    • 0027271782 scopus 로고
    • Properties of the delta operator model of dynamic physical systems
    • C.P. Neuman Properties of the delta operator model of dynamic physical systems IEEE Trans. Systems Man Cybern. 23 January/February (1) 1993 296 301
    • (1993) IEEE Trans. Systems Man Cybern. , vol.23 , Issue.JAN.-FEB. 1 , pp. 296-301
    • Neuman, C.P.1
  • 12
    • 0031388338 scopus 로고    scopus 로고
    • Delta-operator based signal processing: Fast algorithms for rapidly sampled data
    • San Diego, California USA, December
    • H.V. Poor, Delta-operator based signal processing: fast algorithms for rapidly sampled data, in: Proceedings of the 36th Conference on Decision & Control, San Diego, California USA, December 1997.
    • (1997) Proceedings of the 36th Conference on Decision & Control
    • Poor, H.V.1
  • 13
    • 0033285355 scopus 로고    scopus 로고
    • Identification of shift and delta operator models for small sampling periods
    • San Diego, California, June
    • R. Gessing, Identification of shift and delta operator models for small sampling periods, in: Proceedings of the American Control Conference, San Diego, California, June I999.
    • (1999) Proceedings of the American Control Conference
    • Gessing, R.1
  • 14
    • 0035155465 scopus 로고    scopus 로고
    • High speed adaptive signal processing using the delta operator
    • H.H. Fan, and P. De High speed adaptive signal processing using the delta operator Digit. Signal Process. 11 2001 3 34 10.1006/dspr.1999.0352
    • (2001) Digit. Signal Process. , vol.11 , pp. 3-34
    • Fan, H.H.1    De, P.2
  • 16
    • 0027576667 scopus 로고
    • A QR-type algorithm for fitting the delta AR model to autocorrelation windowed data
    • C.J. Zarowski A QR-type algorithm for fitting the delta AR model to autocorrelation windowed data IEEE Trans. Signal Process. 41 April (4) 1993 1728 1730
    • (1993) IEEE Trans. Signal Process. , vol.41 , Issue.APR. 4 , pp. 1728-1730
    • Zarowski, C.J.1
  • 17
    • 0028468054 scopus 로고
    • Delta Levinson and Schur-type RLS algorithms for adaptive signal processing
    • H. Fan, and X. Liu Delta Levinson and Schur-type RLS algorithms for adaptive signal processing IEEE Trans. Signal Process. 42 June (7) 1994 1629 1639
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.JUN. 7 , pp. 1629-1639
    • Fan, H.1    Liu, X.2
  • 18
    • 0031146946 scopus 로고    scopus 로고
    • Efficient zero location tests for delta-operator based polynomials
    • H. Fan Efficient zero location tests for delta-operator based polynomials IEEE Trans. Autom. Control 42 5 1997 722 727
    • (1997) IEEE Trans. Autom. Control , vol.42 , Issue.5 , pp. 722-727
    • Fan, H.1
  • 19
    • 0033131658 scopus 로고    scopus 로고
    • Singular root distribution problem for delta-operator based real polynomials
    • H. Fan Singular root distribution problem for delta-operator based real polynomials Automatica 35 1999 791 807
    • (1999) Automatica , vol.35 , pp. 791-807
    • Fan, H.1
  • 20
    • 84951604495 scopus 로고
    • Analysis on measure chains - A unified approach to continuous and discrete calculus
    • S. Hilger Analysis on measure chains - a unified approach to continuous and discrete calculus Results Math. 18 August (1-2) 1990 18 56
    • (1990) Results Math. , vol.18 , Issue.AUG. 1-2 , pp. 18-56
    • Hilger, S.1
  • 25
    • 0033899008 scopus 로고    scopus 로고
    • Introduction to fractional signal processing. Part 2 discrete-time systems
    • M.D. Ortigueira Introduction to fractional signal processing. Part 2 discrete-time systems IEE Proc. Vis. Image Signal Process. 1 2000 71 78
    • (2000) IEE Proc. Vis. Image Signal Process. , Issue.1 , pp. 71-78
    • Ortigueira, M.D.1
  • 26
    • 0033872505 scopus 로고    scopus 로고
    • Introduction to fractional signal processing. Part 1 continuous-time systems
    • M.D. Ortigueira Introduction to fractional signal processing. Part 1 continuous-time systems IEE Proc. Vis. Image Signal Process. 1 2000 62 70
    • (2000) IEE Proc. Vis. Image Signal Process. , Issue.1 , pp. 62-70
    • Ortigueira, M.D.1
  • 32
    • 76649136134 scopus 로고    scopus 로고
    • System initial conditions vs derivative initial conditions
    • M.D. Ortigueira, and F. Coito System initial conditions vs derivative initial conditions Comput. Math. Appl. 59 March (5) 2010 1782 1789
    • (2010) Comput. Math. Appl. , vol.59 , Issue.MAR. 5 , pp. 1782-1789
    • Ortigueira, M.D.1    Coito, F.2
  • 33
    • 84979630551 scopus 로고    scopus 로고
    • On the usefulness of Riemann-Liouville and caputo derivatives in describing fractional shift-invariant linear systems
    • M.D. Ortigueira, and F. Coito On the usefulness of Riemann-Liouville and caputo derivatives in describing fractional shift-invariant linear systems J. Appl. Nonlinear Dyn. 1 2 2012 113 124
    • (2012) J. Appl. Nonlinear Dyn. , vol.1 , Issue.2 , pp. 113-124
    • Ortigueira, M.D.1    Coito, F.2
  • 34
    • 84881477754 scopus 로고    scopus 로고
    • The infinite state approach: Origin and necessity
    • J.C. Trigeassou, N. Maamri, and A. Oustaloup The infinite state approach: origin and necessity Comput. Math. Appl. 66 5 2013 892 907
    • (2013) Comput. Math. Appl. , vol.66 , Issue.5 , pp. 892-907
    • Trigeassou, J.C.1    Maamri, N.2    Oustaloup, A.3
  • 38
    • 84968503394 scopus 로고
    • Differences of fractional order
    • J.B. Diaz, and T.J. Osler Differences of fractional order Math. Comput. 28 1974 1 17
    • (1974) Math. Comput. , vol.28 , pp. 1-17
    • Diaz, J.B.1    Osler, T.J.2
  • 39
    • 84861208871 scopus 로고    scopus 로고
    • The incremental ratio based causal fractional calculus for analytic functions
    • M.D. Ortigueira, M. Rivero, and J.J. Trujillo The incremental ratio based causal fractional calculus for analytic functions Int. J. Bifurc. Chaos 22 4 2012 1250078 10.1142/S0218127412500782
    • (2012) Int. J. Bifurc. Chaos , vol.22 , Issue.4 , pp. 1250078
    • Ortigueira, M.D.1    Rivero, M.2    Trujillo, J.J.3
  • 43
    • 0000824896 scopus 로고    scopus 로고
    • Modal synthesis when modeling damping by use of fractional derivatives
    • A. Fenander Modal synthesis when modeling damping by use of fractional derivatives AIAA J. 34 5 1996 1051 1058
    • (1996) AIAA J. , vol.34 , Issue.5 , pp. 1051-1058
    • Fenander, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.