Generalization of transfer equivalence for discrete-time non-linear systems: Comparison of two definitions

International Journal of Control

Volumn 77, Issue 8, 2004, Pages 741-747

  Kotta, U ^a   Pawłuszewicz, Ewa ^b   Nomm S ^a,c  

^a TALLINN UNIVERSITY OF TECHNOLOGY   (Estonia)

^b BIALYSTOK UNIVERSITY OF TECHNOLOGY   (Poland)

^c INSTITUT DE RECHERCHE EN COMMUNICATIONS ET CYBERNÉTIQUE DE NANTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTROL THEORY; DIFFERENCE EQUATIONS; FUNCTION EVALUATION; LINEAR SYSTEMS; NONLINEAR SYSTEMS; POLYNOMIALS; SET THEORY; TRANSFER FUNCTIONS;

COMMUTATIVE ALGEBRA; MEROMORPHIC FUNCTIONS; POLYNOMIAL EQUATIONS; TRANSFER EQUIVALENCE;

DISCRETE TIME CONTROL SYSTEMS;

EID: 4544383574     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170410001715022     Document Type: Article

References (12)

1. ARANDA-BRICAIRE, E., KOTTA, Ü., and MOOG, C., 1996, Linearization of discrete-time systems. SIAM Journal of Control and Optimization, 34, 1999-2023.
2. BUCHBERGER, B., 1985, Gröbner bases: an algorithmic method in polynomial ideal theory. In: N. K. Bose (Ed.), Multidimensional Systems Theory (Dordrecht: D. Reidel), pp. 184-232.
3. BUCHBERGER, B., 1988, Applications of Gröbner bases in non-linear computational geometry. Lecture Notes in Computer Science, vol. 296, Springer-Verlag, pp. 52-80.
4. COX, D., LITTLE, J., and O'SHEA, D., 1998, Using Algebraic Geometry (New York: Springer).
5. FORSMAN, K., 1991, Constructive commutative algebra in nonlinear control theory. Linköping Studies in Science and Technology, Dissertations No. 261, Linköping, Sweden.
6. HAMMER, J., 1984, Nonlinear systems: stability and rationality. International Journal of Control, 40, 1-35.
7. KOTTA, Ü., 2000, Irreducibility conditions for nonlinear input-output difference equations. Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 3404-3408.
8. KOTTA, Ü., and TÕNSO, M., 1999, Transfer equivalence and realization of non-linear higher order input/output difference equations using Mathematica. Journal of Circuits, Systems and Computers, 9, 23-25.
9. KOTTA, Ü., ZINOBER, A., and LIU, P., 2001, Transfer equivalence and realization of nonlinear higher order input-output difference equations. Automatica, 37, 1771-1778.
10. MOOG, C. H., ZHENG, Y., and LIU, P., 2002, Input-output equivalence of nonlinear systems and their relations. Paper T-Mo-M086. Preprints of the 15th IFAC World Congress (CD-ROM), Barcelona, Spain.
11. RUDOLPH, J., 1994, Viewing input-output system equivalence from differential algebra. Journal of Mathematical Systems, Estimation, and Control, 4, 353-383.
12. ZHENG, Y. F., WILLEMS, J. C., and ZHANG, C., 1997, Common factors and controllability of nonlinear systems. Proceedings of the 36th IEEE CDC, San Diego, USA, pp. 2584-2589.