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Volumn 352, Issue , 2007, Pages 233-264

OreModules: A symbolic package for the study of multidimensional linear systems

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EID: 34247194283     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-49556-7_15     Document Type: Article
Times cited : (63)

References (49)
  • 3
    • 0034345912 scopus 로고    scopus 로고
    • Underdetermined systems of partial differential equations
    • Bender C. M., Dunne G. V., Mead L. R. (2000) Underdetermined systems of partial differential equations. J. Mathematical Physics 41:6388-6398
    • (2000) J. Mathematical Physics , vol.41 , pp. 6388-6398
    • Bender, C.M.1    Dunne, G.V.2    Mead, L.R.3
  • 7
    • 0032141037 scopus 로고    scopus 로고
    • Non-commutative elimination in Ore algebras proves multivariate identities
    • Chyzak F., Salvy B. (1998) Non-commutative elimination in Ore algebras proves multivariate identities. J. Symbolic Computation 26:187-227
    • (1998) J. Symbolic Computation , vol.26 , pp. 187-227
    • Chyzak, F.1    Salvy, B.2
  • 9
    • 50249163447 scopus 로고    scopus 로고
    • Linear control systems over Ore algebras: Effective algorithms for the computation of parametrizations
    • INRIA Rocquencourt, France
    • Chyzak F., Quadrat A., Robertz D. (2003) Linear control systems over Ore algebras: Effective algorithms for the computation of parametrizations. In Proc. IFAC Workshop on Time-Delay Systems TDS03, INRIA Rocquencourt, France
    • (2003) Proc. IFAC Workshop on Time-Delay Systems
    • Chyzak, F.1    Quadrat, A.2    Robertz, D.3
  • 10
    • 33645320460 scopus 로고    scopus 로고
    • OreModules: A symbolic package for the study of multidimensional linear systems
    • Leuven, Belgium
    • Chyzak F., Quadrat A., Robertz D. (2004) OreModules: A symbolic package for the study of multidimensional linear systems. In Proc. Symposium MTNS04, Leuven, Belgium
    • (2004) Proc. Symposium MTNS04
    • Chyzak, F.1    Quadrat, A.2    Robertz, D.3
  • 12
    • 0033732512 scopus 로고    scopus 로고
    • Systems over rings: Geometric theory and applications
    • Conte G., Perdon A. M. (2000) Systems over rings: geometric theory and applications. Annual Reviews in Control 24:113-124
    • (2000) Annual Reviews in Control , vol.24 , pp. 113-124
    • Conte, G.1    Perdon, A.M.2
  • 14
    • 34247235112 scopus 로고    scopus 로고
    • Fliess M. (1991) Controllability revisited. In A. C. Antoulas ed., Mathematical System Theory. The influence of R. E. Kalman, Springer, Berlin Heidelberg New York
    • Fliess M. (1991) Controllability revisited. In A. C. Antoulas ed., Mathematical System Theory. The influence of R. E. Kalman, Springer, Berlin Heidelberg New York
  • 15
    • 84996132350 scopus 로고    scopus 로고
    • Controllability and observability of linear delay systems: An algebraic approach
    • Fliess M., Mounier H. (1998) Controllability and observability of linear delay systems: an algebraic approach. ESAIM COCV 3:301-314.
    • (1998) ESAIM COCV , vol.3 , pp. 301-314
    • Fliess, M.1    Mounier, H.2
  • 19
    • 34247230232 scopus 로고    scopus 로고
    • Computational aspects of systems over rings - readability and stabilizability
    • Habets L. (1996) Computational aspects of systems over rings - readability and stabilizability. CWI Quarterly 9:85-95.
    • (1996) CWI Quarterly , vol.9 , pp. 85-95
    • Habets, L.1
  • 20
    • 0003792312 scopus 로고
    • Prentice-Hall, Upper Saddle River
    • Kailath T. (1980) Linear Systems. Prentice-Hall, Upper Saddle River
    • (1980) Linear Systems
    • Kailath, T.1
  • 23
    • 33748978305 scopus 로고    scopus 로고
    • Non-commutative Gröbner Bases and Filtered-Graded Transfer
    • Springer, Berlin Heidelberg New York
    • Li H. (2002) Non-commutative Gröbner Bases and Filtered-Graded Transfer. Lecture Notes in Mathematics 1795, Springer, Berlin Heidelberg New York
    • (2002) Lecture Notes in Mathematics 1795
    • Li, H.1
  • 24
    • 0037785703 scopus 로고
    • Systèmes à coefficients constants
    • Malgrange B. (1963) Systèmes à coefficients constants. Séminaire Bourbaki 1962/63, 246:1-11
    • (1962) Séminaire Bourbaki , vol.246 , pp. 1-11
    • Malgrange, B.1
  • 27
    • 84996132210 scopus 로고    scopus 로고
    • Tracking control of a vibrating string with an interior mass viewed as delay system
    • Mounier H., Rudolph J., Fliess M., Rouchon P. (1998) Tracking control of a vibrating string with an interior mass viewed as delay system. ESAIM COCV 3:315-321
    • (1998) ESAIM COCV , vol.3 , pp. 315-321
    • Mounier, H.1    Rudolph, J.2    Fliess, M.3    Rouchon, P.4
  • 28
    • 0003034426 scopus 로고
    • Multidimensional constant linear systems
    • Oberst U. (1990) Multidimensional constant linear systems. Acta Appl. Math. 20:1-175
    • (1990) Acta Appl. Math , vol.20 , pp. 1-175
    • Oberst, U.1
  • 29
    • 0032201987 scopus 로고    scopus 로고
    • A behavioral approach to control of distributed systems
    • Pillai H. K., Shankar S. (1998) A behavioral approach to control of distributed systems. SIAM J. Control and Optimization 37:388-408
    • (1998) SIAM J. Control and Optimization , vol.37 , pp. 388-408
    • Pillai, H.K.1    Shankar, S.2
  • 30
    • 34247229184 scopus 로고    scopus 로고
    • Polderman J. W., Willems J. C. (1998) Introduction to Mathematical Systems Theory. A Behavioral Approach. TAM 26, Springer, Berlin Heidelberg New York
    • Polderman J. W., Willems J. C. (1998) Introduction to Mathematical Systems Theory. A Behavioral Approach. TAM 26, Springer, Berlin Heidelberg New York
  • 33
    • 0345766866 scopus 로고    scopus 로고
    • Localization and parametrization of linear multidimensional control systems
    • Pommaret, J.-F., Quadrat, A. (1999) Localization and parametrization of linear multidimensional control systems. Systems & Control Letters 37:247-260
    • (1999) Systems & Control Letters , vol.37 , pp. 247-260
    • Pommaret, J.-F.1    Quadrat, A.2
  • 34
    • 0033187892 scopus 로고    scopus 로고
    • Algebraic analysis of linear multidimensional control systems
    • Pommaret J.-F., Quadrat A. (1999) Algebraic analysis of linear multidimensional control systems. IMA J. Control and Optimization 16:275-297
    • (1999) IMA J. Control and Optimization , vol.16 , pp. 275-297
    • Pommaret, J.-F.1    Quadrat, A.2
  • 35
    • 69949154430 scopus 로고    scopus 로고
    • Equivalences of linear control systems
    • Perpignan, France
    • Pommaret J.-F., Quadrat A. (2000) Equivalences of linear control systems. In Proc. Symposium MTNS 2000, Perpignan, France
    • (2000) Proc. Symposium MTNS
    • Pommaret, J.-F.1    Quadrat, A.2
  • 36
    • 4444258540 scopus 로고    scopus 로고
    • A functorial approach to the behaviour of multidimensional control systems
    • Pommaret J.-F., Quadrat A. (2003) A functorial approach to the behaviour of multidimensional control systems. Applied Mathematics and Computer Science 13:7-13
    • (2003) Applied Mathematics and Computer Science , vol.13 , pp. 7-13
    • Pommaret, J.-F.1    Quadrat, A.2
  • 37
    • 4444253517 scopus 로고    scopus 로고
    • A differential operator approach to multidimensional optimal control
    • Pommaret J.-F., Quadrat A. (2004) A differential operator approach to multidimensional optimal control. International J. Control 77:821-836
    • (2004) International J. Control , vol.77 , pp. 821-836
    • Pommaret, J.-F.1    Quadrat, A.2
  • 39
    • 33947147577 scopus 로고    scopus 로고
    • An introduction to the algebraic theory of linear systems of partial differential equations
    • in preparation
    • Quadrat A. (2005) An introduction to the algebraic theory of linear systems of partial differential equations, in preparation.
    • (2005)
    • Quadrat, A.1
  • 40
    • 79960737402 scopus 로고    scopus 로고
    • Quadrat A., Robertz D. (2005) Parametrizing all solutions of uncontrollable multidimensional linear systems. In Proc. 16th IFAC World Congress, Prague, Czech Republic
    • Quadrat A., Robertz D. (2005) Parametrizing all solutions of uncontrollable multidimensional linear systems. In Proc. 16th IFAC World Congress, Prague, Czech Republic
  • 41
    • 33847216579 scopus 로고    scopus 로고
    • On the blowing-up of stably-free behaviours
    • Sevilla, Spain
    • Quadrat A., Robertz D. (2005) On the blowing-up of stably-free behaviours. In Proc. CDC-ECC05, Sevilla, Spain
    • (2005) Proc. CDC-ECC05
    • Quadrat, A.1    Robertz, D.2
  • 42
    • 34247245247 scopus 로고    scopus 로고
    • Constructive computation of bases of free modules over the Weyl algebras. INRIA report 5181 (www.inria.fr/rrrt/rr-5181. html)
    • submitted for publication
    • Quadrat A., Robertz D. (2005) Constructive computation of bases of free modules over the Weyl algebras. INRIA report 5181 (www.inria.fr/rrrt/rr-5181. html), submitted for publication.
    • (2005)
    • Quadrat, A.1    Robertz, D.2
  • 43
    • 0016977910 scopus 로고
    • Linear systems over commutative rings: A survey
    • Sontag E. (1976) Linear systems over commutative rings: a survey. Ricerche di Automatica 7:1-34
    • (1976) Ricerche di Automatica , vol.7 , pp. 1-34
    • Sontag, E.1
  • 49
    • 0005695080 scopus 로고    scopus 로고
    • Topics in Multidimensional Linear Systems Theory
    • Springer, Berlin Heidelberg New York
    • Zerz E. (2000) Topics in Multidimensional Linear Systems Theory. Lecture Notes in Control and Information Sciences 256, Springer, Berlin Heidelberg New York
    • (2000) Lecture Notes in Control and Information Sciences , vol.256
    • Zerz, E.1


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