메뉴 건너뛰기




Volumn 245, Issue , 1996, Pages 83-106

Duality in time-varying linear systems: A module theoretic approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030518660     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(94)00222-3     Document Type: Article
Times cited : (23)

References (33)
  • 3
    • 0000958765 scopus 로고
    • A classification of linear controllable systems
    • P. Brunovsky, A classification of linear controllable systems, Kybernetika 6:173-187 (1970).
    • (1970) Kybernetika , vol.6 , pp. 173-187
    • Brunovsky, P.1
  • 4
    • 0042375351 scopus 로고
    • Wiley, New York
    • P. M. Cohn, Algebra, Vols. 1, 2, Wiley, New York, 1977.
    • (1977) Algebra , vol.1 , pp. 2
    • Cohn, P.M.1
  • 7
    • 0001337814 scopus 로고
    • Algorithme de structure, filtrations et découplage
    • E. Delaleau and M. Fliess, Algorithme de structure, filtrations et découplage, C. R. Acad. Sci. Paris Sér. I 315:101-106 (1992).
    • (1992) C. R. Acad. Sci. Paris Sér. I , vol.315 , pp. 101-106
    • Delaleau, E.1    Fliess, M.2
  • 8
    • 85029986999 scopus 로고    scopus 로고
    • An intrinsic characterization of properness for linear time-varying systems
    • to appear
    • E. Delaleau and J. Rudolph, An intrinsic characterization of properness for linear time-varying systems, J. Math. Systems Estim. Control, to appear.
    • J. Math. Systems Estim. Control
    • Delaleau, E.1    Rudolph, J.2
  • 9
    • 0024684743 scopus 로고
    • Generalized linear systems with lumped or distributed parameters and differential vector spaces
    • M. Fliess, Generalized linear systems with lumped or distributed parameters and differential vector spaces, Internat. J. Control 49:1989-1999 (1989).
    • (1989) Internat. J. Control , vol.49 , pp. 1989-1999
    • Fliess, M.1
  • 10
    • 0025643607 scopus 로고
    • Some basic structural properties of generalized linear systems
    • M. Fliess, Some basic structural properties of generalized linear systems, Systems Control Lett. 15:391-396 (1990).
    • (1990) Systems Control Lett. , vol.15 , pp. 391-396
    • Fliess, M.1
  • 13
    • 0026898413 scopus 로고
    • A remark on Willems' trajectory definition of linear controllability
    • M. Fliess, A remark on Willems' trajectory definition of linear controllability, Systems Control Lett. 19:43-45 (1992).
    • (1992) Systems Control Lett. , vol.19 , pp. 43-45
    • Fliess, M.1
  • 14
    • 0019533215 scopus 로고
    • Duality in polynomial models with some applications to geometric control theory
    • P. A. Fuhrmann, Duality in polynomial models with some applications to geometric control theory, IEEE Trans. Automat. Control 26:284-295 (1981).
    • (1981) IEEE Trans. Automat. Control , vol.26 , pp. 284-295
    • Fuhrmann, P.A.1
  • 15
    • 34250264218 scopus 로고
    • Factorization indices at infinity for rational matrix functions
    • P. A. Fuhrmann and J. C. Willems, Factorization indices at infinity for rational matrix functions, Integral Equations Operator Theory 2:287-301 (1979).
    • (1979) Integral Equations Operator Theory , vol.2 , pp. 287-301
    • Fuhrmann, P.A.1    Willems, J.C.2
  • 16
    • 0022145781 scopus 로고
    • Time-varying linear systems and invariants of system equivalence
    • A. Ilchmann, Time-varying linear systems and invariants of system equivalence, Internat. J. Control 42:759-790 (1985).
    • (1985) Internat. J. Control , vol.42 , pp. 759-790
    • Ilchmann, A.1
  • 18
    • 0003792312 scopus 로고
    • Prentice-Hall, Englewood-Cliffs, N.J.
    • T. Kailath, Linear Systems, Prentice-Hall, Englewood-Cliffs, N.J. 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 21
    • 0003956970 scopus 로고
    • Addison-Wesley, Reading, Mass.
    • S. Lang, Algebra, Addison-Wesley, Reading, Mass., 1971.
    • (1971) Algebra
    • Lang, S.1
  • 24
    • 0000501472 scopus 로고
    • Structural invariants of linear multivariable systems
    • S. A. Morse, Structural invariants of linear multivariable systems, SIAM J. Control 11:446-465 (1973).
    • (1973) SIAM J. Control , vol.11 , pp. 446-465
    • Morse, S.A.1
  • 25
    • 0042375349 scopus 로고
    • Duality for linear time invariant finite dimensional systems
    • Analysis and Optimization of Systems, (A. Bensoussan and J. L. Lions, Eds.), Springer-Verlag, Berlin
    • J. W. Nieuwenhuis and J. C. Willems, Duality for linear time invariant finite dimensional systems, in, Analysis and Optimization of Systems, (A. Bensoussan and J. L. Lions, Eds.), Lecture Notes in Control and Inform. Sci. 111, Springer-Verlag, Berlin, 1988, pp. 13-21.
    • (1988) Lecture Notes in Control and Inform. Sci. , vol.111 , pp. 13-21
    • Nieuwenhuis, J.W.1    Willems, J.C.2
  • 26
    • 85029983274 scopus 로고
    • On properness of linear time-varying systems and its generalization to the nonlinear case
    • 28 June-1 July, Groningen, The Netherlands
    • J. Rudolph and E. Delaleau, On properness of linear time-varying systems and its generalization to the nonlinear case, in. Proceedings of the European Control Conference ECC'93, 28 June-1 July, 1993, Groningen, The Netherlands, pp. 2107-2111.
    • (1993) Proceedings of the European Control Conference ECC'93 , pp. 2107-2111
    • Rudolph, J.1    Delaleau, E.2
  • 27
    • 0041373490 scopus 로고
    • Filtrations and Hilbert polynomials in control theory
    • U. Helmke, R. Mennicken, and J. Saurer, Eds.
    • J. Rudolph and S. ElAsmi, Filtrations and Hilbert polynomials in control theory, in Systems and Networks: Mathematical Theory and Applications, (U. Helmke, R. Mennicken, and J. Saurer, Eds.), 1994, pp. 449-452.
    • (1994) Systems and Networks: Mathematical Theory and Applications , pp. 449-452
    • Rudolph, J.1    Elasmi, S.2
  • 28
    • 0042876402 scopus 로고
    • Duality for linear systems: External and state space characterization of the adjoint system
    • (B. Bonnard, B. Bride, J. P. Gauthier, and I. Kupka Eds.), Birkhäuser, Boston
    • A. J. van der Schaft, Duality for linear systems: External and state space characterization of the adjoint system, in Analysis of Controlled Dynamical Systems, (B. Bonnard, B. Bride, J. P. Gauthier, and I. Kupka Eds.), Birkhäuser, Boston, 1991, pp. 393-403.
    • (1991) Analysis of Controlled Dynamical Systems , pp. 393-403
    • Van Der Schaft, A.J.1
  • 29
    • 0002642971 scopus 로고
    • Controllability and observability in time-variable linear systems
    • L. M. Silverman and H. E. Meadows, Controllability and observability in time-variable linear systems, SIAM J. Control 5:64-73 (1967).
    • (1967) SIAM J. Control , vol.5 , pp. 64-73
    • Silverman, L.M.1    Meadows, H.E.2
  • 30
    • 0026119885 scopus 로고
    • Paradigms and puzzles in the theory of dynamical systems
    • J. C. Willems, Paradigms and puzzles in the theory of dynamical systems, IEEE Trans. Automat. Control 36:259-294 (1991).
    • (1991) IEEE Trans. Automat. Control , vol.36 , pp. 259-294
    • Willems, J.C.1
  • 32
    • 0042876399 scopus 로고
    • Global observability indices: A provisional study
    • (G. Conte, A. M. Perdon,and B. Wyman, Eds.), Birkhäuser, Boston
    • B. F. Wyman, Global observability indices: A provisional study, in New Trends in Systems Theory (G. Conte, A. M. Perdon,and B. Wyman, Eds.), Birkhäuser, Boston, 1991, pp. 715-722.
    • (1991) New Trends in Systems Theory , pp. 715-722
    • Wyman, B.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.