Parameter identifiability of nonlinear systems with time-delay

IEEE Transactions on Automatic Control

Volumn 51, Issue 2, 2006, Pages 371-375

  Zhang, J ^a   Xia, X ^b   Moog, Claude H ^a  

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

^b UNIVERSITY OF PRETORIA   (South Africa)

Author keywords

Identifiability; Linear algebraic approach; Nonlinear systems; Time delay

Indexed keywords

DELAY CONTROL SYSTEMS; IDENTIFICATION (CONTROL SYSTEMS); LINEAR ALGEBRA; PARAMETER ESTIMATION;

PARAMETER IDENTIFIABILITY; TIME DELAY CONTROL SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 33244454314     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.863497     Document Type: Article

References (13)

1. L. Belkoura, M. Dambrine, and J. P. Richard, "Identifiability of delay systems: A distribution approach," in Proc. 14th Int. Symp. Mathematical Theory of Networks and Systems, MTNS 2000, Perpignan, France, Jun. 2000.
2. K. Cooke, P. Van den Driessche, and X. Zou, "Interaction of maturation delay and nonlinear birth in population and epidemic models," J. Math. Biol., vol. 39, pp. 332-352, 1999.
3. A. J. Krener and W. Respondek, "Nonlinear observers with linearizable error dynamics," SIAM J. Control Optim., vol. 23, pp. 197-216, 1985.
4. Y. Kuang, Delay Differential Equations with Applications in Population Dynamics. New York: Academic, 1993.
5. J. C. McConnell and J. C. Robinson, Noncommutative Noetherian Rings. Providence, RI: AMS, 2000.
6. N. McDonald, Biological Delay Systems: Linear Stability Theory. Cambridge, U.K.: Cambridge Univ. Press, 1989.
7. Y. Orlov, L. Belkoura, J. P. Richard, and M. Dambrine, "On identifiability of linear time-delay systems," IEEE Trans. Autom. Control, vol. 47, no. 8, pp. 1319-1324, Aug. 2002.
8. J. P. Richard, "Time-delay systems: An overview of some recent advances and open problems," Automatica, vol. 39, pp. 1667-1694, 2003.
9. T. Söderström, L. Ljung, and I. Gustavsson, "Identifiability conditions for linear multivariable systems operating under feedback," IEEE Trans. Autom. Control, vol. AC-21, no. 12, pp. 837-840, Dec. 1976.
10. Identifiability of Parametric Models, E. Walter, Ed., Pergamon, Oxford, U.K., 1987.
11. X. Xia and C. H. Moog, "Identifiability of nonlinear systems with application to HIV/AIDS models," IEEE Trans. Autom. Control, vol. 48, no. 2, pp. 330-336, Feb. 2003.
12. X. Xia, L. A. Márquez, P. Zagalak, and C. H. Moog, "Analysis of non-linear time-delay systems using modules over noncommutative rings," Automatica, vol. 38, pp. 1549-1555, 2002.
13. J. Zhang, X. Xia, and C. H. Moog, (2004) Parameter identifiability of nonlinear systems with time-delay. IRCCyN, Nantes, France. [Online]. Available: Tech. Rep. http://www.irccyn.ec-nantes.fr/hebergement/ Publications/2004/2228.pdf