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On the genericity of the observability of controlled discrete-time systems

Published online by Cambridge University Press:  15 March 2005

Sabeur Ammar
Affiliation:
Inria-Lorraine & UMR CNRS 7122 – ISGMP Bâtiment A, Université de Metz, Ile du Saulcy, 57 045 Metz Cedex 01, France; [email protected]; [email protected]
Jean-Claude Vivalda
Affiliation:
Inria-Lorraine & UMR CNRS 7122 – ISGMP Bâtiment A, Université de Metz, Ile du Saulcy, 57 045 Metz Cedex 01, France; [email protected]; [email protected]
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Abstract

In this paper, we prove the genericity of the observability for discrete-time systems with more outputs than inputs.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2005

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References

R. Abraham and J.W. Robbin, Transversal Mappings and Flows. W. A. Benjamin, New York (1967).
Aeyels, D., Generic observability of differentiable systems. SIAM J. Control Optim. 19 (1981) 595-603. CrossRef
J.-P. Gauthier, H. Hammouri and I. Kupka, Observers for nonlinear systems. In Proc. of the IEEE 30th CDC (1991) 1483-1489.
Gauthier, J.-P. and Kupka, I., Observability and observers for nonlinear systems. SIAM J. Control Optim. 32 (1994) 975-994. CrossRef
Gauthier, J.-P. and Kupka, I., Observability for systems with more outputs than inputs and asymptotic observers. Math. Zeitschrift 223 (1996) 47-78. CrossRef
J.P. Gauthier and I. Kupka, Deterministic observation: theory and applications. Cambridge: Cambridge University Press (2002).
M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities. Springer–Verlag, New York (1986).
Stark, J., Delay embedding for forced systems – I. Deterministic forcing. J. Nonlinear Sci. 9 (1999) 255-332. CrossRef
J. Stark, D.S. Broomhead, M.E. Davies and J. Huke, Delay embedding for forced systems – II. Stochastic forcing. J. Nonlinear Sci. (to appear).
F. Takens, Detecting strange attractors in turbulence. No. 898 in Lect. Notes Math. Springer-Verlag, Coventry (1981).
J.-C. Vivalda, On the genericity of the observability of uncontrolled discrete nonlinear systems. SIAM J. Control Optim. 42 (2003).