@article{COCV_1998__3__301_0,
author = {Fliess, M. and Mounier, H.},
title = {Controllability and observability of linear delay systems : an algebraic approach},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {301--314},
year = {1998},
publisher = {EDP Sciences},
volume = {3},
mrnumber = {1644427},
zbl = {0908.93013},
language = {en},
url = {https://www.numdam.org/item/COCV_1998__3__301_0/}
}
TY - JOUR AU - Fliess, M. AU - Mounier, H. TI - Controllability and observability of linear delay systems : an algebraic approach JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1998 SP - 301 EP - 314 VL - 3 PB - EDP Sciences UR - https://www.numdam.org/item/COCV_1998__3__301_0/ LA - en ID - COCV_1998__3__301_0 ER -
%0 Journal Article %A Fliess, M. %A Mounier, H. %T Controllability and observability of linear delay systems : an algebraic approach %J ESAIM: Control, Optimisation and Calculus of Variations %D 1998 %P 301-314 %V 3 %I EDP Sciences %U https://www.numdam.org/item/COCV_1998__3__301_0/ %G en %F COCV_1998__3__301_0
Fliess, M.; Mounier, H. Controllability and observability of linear delay systems : an algebraic approach. ESAIM: Control, Optimisation and Calculus of Variations, Tome 3 (1998), pp. 301-314. https://www.numdam.org/item/COCV_1998__3__301_0/
[1] : Approximate controllability of neutral systems with delays in control, J. Diff. Eq., 51, 1984, 295-325. | Zbl | MR
[2] , , , : Representation and Control of Infinite Dimensional Systems, 1, 2, Birkhäuser, Boston, 1992-1993. | Zbl | MR
[3] , : Modal characterizations of controllability and observability for time-delay systems, IEEE Trans. Automat. Contr., 21, 1976, 292-293. | Zbl | MR
[4] , : Finite poles and zeros of linear systems: an intrinsic approach, Internat J. Control, 68, 1997, 897-922. | Zbl | MR
[5] , , : Linear Systems over Commutative Rings, Marcel Dekker, New York, 1986. | Zbl | MR
[6] , : What makes a complex exact?J. Alg., 25, 1973, 259-268. | Zbl | MR
[7] : On the control of certain deterministic, infinite-dimensional systems by algebro-geometric techniques, Amer. J. Math., 100, 1978, 1333-1381. | Zbl | MR
[8] : A difference-differential basis theorem, Canad. J. Math., 22, 1970, 1224-1237. | Zbl | MR
[9] : Commutative Algebra with a View toward Algebraic Geometry, Springer-Verlag, New York, 1995. | Zbl | MR
[10] : Some basic structural properties of generalized linear systems, Systems Control Lett., 15, 1990, 391-396. | Zbl | MR
[11] : A remark on Willems' trajectory characterization of linear controllability, Systems Control Lett., 19, 1992, 43-45. | Zbl | MR
[12] : Reversible linear and non linear discrete time dynamics, IEEE Trans. Automat. Contr., 37, 1992, 1144-1153. | Zbl | MR
[13] : Une interprétation algébrique de la transformation de Laplace et des matrices de transfert, Linear Alg. Appl., 203-204, 1994, 429-442. | Zbl | MR
[14] , : Discussing some examples of linear systems interconnections, Systems Control Lett., 27, 1996, 1-7. | Zbl | MR
[15] , : Sur les systèmes linéaires à dérivation non entière, C.R. Acad. Sci. Paris II, 324, 1997, 99-105. | Zbl
[16] , : Quelques propriétés structurelles des systèmes linéaires à retards constants, C. R. Acad. Sci. Paris I, 319, 1994, 289-294. | Zbl | MR
[17] , : Interpretation and comparison of various types of delay system controllabilities, In Proc. IFAC Conference System, Structure and Control, Nantes, 1995, 330-335.
[18] , : A polynomial matrix approach to the behavioral analysis of nd systems, In 3rd European Control Conference Proc., Rome, 1995, 1757-1762.
[19] : A behavioral approach to delay differential systems, SIAM J. Contr. Opt., 35, 1997, 480-499. | Zbl | MR
[20] , : Eléments de géométrie algébrique I, Springer-Verlag, Berlin 1971. | Zbl
[21] : Algebraic Geometry, Springer-Verlag, NewYork, 1977. | Zbl | MR
[22] , , : Topics in Mathematical Systems Theory, McGraw-Hill, New York, 1969. | Zbl | MR
[23] : On an algebraic theory of systems defined by convolution operators, Math. Syst. Theory, 9, 1975, 57-74. | Zbl | MR
[24] : An operator theory of linear functional differential equations, J. Diff. Eq., 27, 1978, 274-297. | Zbl | MR
[25] , , : Proper stable Bezout factorization and feedback control of linear time-delay systems, Internat. J. Control, 43, 1986, 837-857. | Zbl | MR
[26] : Serre's Conjecture, Springer-Verlag, Berlin, 1978. | Zbl | MR
[27] : Algebra, 3rd ed., Addison-Wesley, Reading, MA, 1993. | Zbl | MR
[28] , , : Canonical forms for time delay systems, IEEE Trans. Automat. Contr., 27, 1982, 128-132. | Zbl | MR
[29] , : Observability and related structural results for linear hereditary systems, Internat. I. Control, 34, 1981, 1061-1078. | Zbl | MR
[30] , : Function space controllability of retarded systems: a derivation from abstract operator conditions, SIAM J. Contr. Opt., 16, 1978, 599-645. | Zbl | MR
[31] : Ring models for delay-differential systems, Automatica, 12, 1976, 529-531. | Zbl | MR
[32] : Propriétés structurelles des systèmes linéaires à retards : aspects théoriques et pratiques, Thèse, Université Paris-Sud, Orsay, 1995.
[33] : Algebraic interpretations of the spectral controllability of a linear delay system, Forum Math., 10, 1998, 39-58. | Zbl | MR
[34] : Stabilization of a class of linear delay systems, Math. Comp. Sim., 45, 1998, 329-338. | Zbl | MR
[35] , , , : Tracking control of a vibrating string with an interior mass viewed as a delay system, ESAIM: Control Optimisation and Calculus of Variations, http://www.emath.fr/cocv/, 3, 1998, 315-321. | Zbl | MR | Numdam
[36] , , : Some examples of linear delay systems, RAIRO-JESA-APII, 31, 1997, 911-925.
[37] , , : π-freeness of a long electric line, Comput. Eng. in Syst. Appl. IMACS Multiconference, Lille, 1996, 28-29.
[38] , : On the function space controllability of linear neutral systems, SIAM J. Contr. Opt., 21, 1983, 306-329. | Zbl | MR
[39] , : Further results on controllability of linear systems with delays, In European Control Conference Proc., Rome, 1995, 3313-3318.
[40] : Projective modules over polynomial rings, Inv. Math., 36, 1976, 167-171. | Zbl | MR
[41] , : Behavioral controllability of D-D systems, SIAM J. Contr. Opt., 35, 1997, 254-264. | Zbl | MR
[42] : An Introduction to Homological Algebra, Academic Press, New-York, 1979. | Zbl | MR
[43] : Ring Theory, Academic Press, Boston, 1991. | Zbl | MR
[44] : Faisceaux algébriques cohérents, Annals of Math., 61, 1955, 197-278. | Zbl | MR
[45] : Linear systems over commutative rings: a survey, Richerche di Automatica, 7, 1976, 1-34. | Zbl
[46] , : On the spectral controllability of delay-differential equations, IEEE Trans. Automat. Contr., 26, 1981, 527-528. | Zbl | MR
[47] : Projective modules over a polynomial ring are free (in Russian), Dokl. Akad. Nauk. S.S.S.R., 229, 1976, 1063-1066; English translation: Soviet Math. Dokl., 17, 1160-1164. | Zbl | MR
[48] : Reachability of a class of infinite-dimensional linear systems: an external approach with applications to general neutral systems, SIAM J. Contr. Opt., 27, 1989, 217-234. | Zbl | MR
[49] , : Notes on n-dimensional system theory, IEEE Trans. Circuits Syst., 26, 1979, 105-111. | Zbl | MR
[50] , : The Quillen-Suslin theorem and the structure of n-dimensional elementary polynomial matrices, IEEE Trans. Circuits Syst., 31, 1984, 513-518. | Zbl | MR






