Two algorithms arising in analysis of polynomial models

Proceedings of the American Control Conference

Volumn 3, Issue , 1998, Pages 1889-1893

  Nesic D ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE TIME; POLYNOMIAL MODELS; POLYNOMIAL SYSTEMS; SYMBOLIC COMPUTATION;

ALGORITHMS; OBSERVABILITY;

POLYNOMIALS;

EID: 0006831536     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.707350     Document Type: Conference Paper

References (8)

1. G. E. Collins, "Quantifier elimination for real closed fields by cylindrical algebraic decomposition," Lect. Notes Comp. Sci, vol. 33, pp. 134-183, 1975.
2. D. Cox, J. Little and D. O'Shea, Ideals, varieties and Algorithms. Springer-Verlag: New York, 1992.
3. R. Haber and H. Unbehauen, "Structure identification of nonlinear dynamic systems - a survey of input/output approaches," Automatica, vol. 26, pp. 651-677, 1990.
4. B. Jakubczyk and E. D. Sontag, "Controllability of nonlinear discrete-time systems: a Lie algebraic approach," SIAM J. Contr. Optimiz., vol. 28, pp. 1-33, 1990.
5. D. Nešić and I. M. Y. Mareels, "Invariant sets and output dead-beat controllability for odd polynomial systems: the Gröbner basis method" in proc. 13th IFAC World Congress, San Francisco, vol. E, pp. 221-226, 1996.
6. D. Nešić and I. M. Y. Mareels, "Dead-beat controllability of polynomial systems: symbolic computation approaches," to appear in Trans. IEEE Automat. Contr.
7. D. Nešić, Dead-beat control for polynomial systems, PhD Thesis, The Australian National University, Canberra, Australia, 1996.
8. E. D. Sontag, "On the observability of polynomial systems, I: finite-time problems", SIAM J. Contr. Optimiz., vol. 17, pp. 139-151, 1979.