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

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1. R. Abraham and J.W. Robbin, Transversal Mappings and Flows. W. A. Benjamin, New York (1967).  
2. D. Aeyels, Generic observability of differentiable systems. SIAM J. Control Optim.19 (1981) 595-603.  
3. J.-P. Gauthier, H. Hammouri and I. Kupka, Observers for nonlinear systems. In Proc. of the IEEE 30th CDC (1991) 1483-1489.  
4. J.-P. Gauthier and I. Kupka, Observability and observers for nonlinear systems. SIAM J. Control Optim.32 (1994) 975-994.  
5. J.-P. Gauthier and I. Kupka, Observability for systems with more outputs than inputs and asymptotic observers. Math. Zeitschrift223 (1996) 47-78.  
6. J.P. Gauthier and I. Kupka, Deterministic observation: theory and applications. Cambridge: Cambridge University Press (2002).  
7. M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities. Springer–Verlag, New York (1986).  
8. J. Stark, Delay embedding for forced systems – I. Deterministic forcing. J. Nonlinear Sci.9 (1999) 255-332.  
9. J. Stark, D.S. Broomhead, M.E. Davies and J. Huke, Delay embedding for forced systems – II. Stochastic forcing. J. Nonlinear Sci. (to appear).  
10. F. Takens, Detecting strange attractors in turbulence. No. 898 in Lect. Notes Math. Springer-Verlag, Coventry (1981).  
11. J.-C. Vivalda, On the genericity of the observability of uncontrolled discrete nonlinear systems. SIAM J. Control Optim.42 (2003).