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  Some generic results on algebraic observability and connections with realization theory (1993) [9 citations — 6 self]

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by Krister Forsman, Krister Forsman
Proc. 2nd European Control Conf
ftp://ftp.control.isy.liu.se/pub/Reports/1993/1458.ps.Z
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Abstract:

Technical reports from the automatic control group in Linkoping are available by anonymous ftp at

Citations

289 Gröbner bases: An algorithmic method in polynomial ideal theory. In: Recent trends in multidimensional system theory – Buchberger - 1985
186 der Schaft, Nonlinear Dynamical Control Systems – Nijmeijer, van - 1990
138 Introduction to Commutative Algebra – ATIYAH, MACDONALD - 1969
117 Commutative ring theory – Matsumura - 1986
69 Gröbner bases and primary decomposition of polynomial ideals – Gianni, Trager, et al. - 1988
43 The Jacobian Conjecture: reduction of degree and formal expansion of the inverse – Bass, Connell, et al. - 1982
36 The Red Book of Varieties and Schemes – Mumford - 1988
32 Introduction to commutative algebra and algebraic geometry. Boston : Birkhäuser – Kunz - 1985
25 Constructive Commutative Algebra in Nonlinear Control Theory – Forsman - 1991
21 Elimination in Control Theory – Diop - 1991
15 Commutative Ring Theory, volume 8 of Cambridge Studies in Advanced Mathematics – Matsumura - 1986
15 The theory of Grobner bases – Pauer, Pfeifhofer - 1988
14 On nonlinear observability – Diop, Fliess - 1991
14 Nonlinear state space and input output descriptions using differential polynomials – Glad - 1988
14 Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence – Shannon, Sweedler - 1988
7 Differential algebraic modelling of nonlinear systems – Glad - 1990
5 On rational state space realizations – Forsman - 1992
5 Polynomial Response Maps, volume 13 – Sontag - 1979
4 Nonlinear observability, identifiability, and persistent trajectories – Diop, Fliess - 1991
4 Localization and base change techniques in computational algebra – Forsman - 1993
4 Polycon -- computer algebra software for polynomial control systems – Forsman - 1993
4 Representing a nonlinear state space system as a set of higher-order differential equations – Schaft - 1989
4 Steps in Commutative Algebra, volume 19 – Sharp - 1990
3 A constructive approach to algebraic observability – Germundsson, Forsman - 1991
3 Rationale Funktionen mehrerer Veranderlichen – Netto - 1904
3 Nonlinear Control Systems. CCES – Isidori - 1989
2 Steps in Commutative Algebra – Sharp - 1990
2 Polycon - a Maple package for polynomial and rational control systems – Forsman - 1992
2 Commutative rings, The University of Chicago Press, revised edition – Kaplansky - 1974