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All issues Volume 32 (2026) ESAIM: COCV, 32 (2026) 31 References
Open Access
Issue
ESAIM: COCV
Volume 32, 2026
Article Number 31
Number of page(s) 32
DOI https://doi.org/10.1051/cocv/2025055
Published online 13 April 2026
  1. D.-G. Luenberger, Observing the state of a linear system. IEEE Trans. Mil. Electron. 8 (1964) 74–80. [Google Scholar]
  2. R.-E. Kalman and R.-S. Bucy, New results in linear filtering and prediction theory. Trans. ASME J. Basic Eng. 83 (1961) 95–107. [Google Scholar]
  3. A.J. Krener and A. Isidori, Linearization by output injection and nonlinear observers. Syst. Control Lett. 3 (1983) 47–52. [Google Scholar]
  4. X.H. Xia and W.B. Gao, Nonlinear observer with linearizable error dynamics. SIAM J. Control Optim. 27 (1989) 199–216. [Google Scholar]
  5. A.-R. Phelps, On constructing nonlinear observers. SIAM J. Control Optim. 29 (1991) 516–534. [Google Scholar]
  6. H. Hammouri and J.-P. Gauthier, Global time-varying linearization up to output injection. SIAM J. Control Optim. 30 (1992) 1295–1310. [Google Scholar]
  7. A. Glumineau, C.-H. Moog and F. Plestan, New algebraic-geometric conditions for the linearization by Input-output injection. IEEE Trans. Automatic Control 41 (1996) 598–603. [Google Scholar]
  8. W. Respondek, A. Pogromsky and H. Nijmeijer, Time scaling for observer design with linearization erro dynamics. Automatica 4 (2004) 277–285. [Google Scholar]
  9. G. Zheng, D. Boutat and J.-P. Barbot, Single output-dependent observability normal form. SIAM J. Control Optim. 46 (2007) 2242–2255. [Google Scholar]
  10. H. Hammouri and M. Sahnoun, Nonlinear observer based on cascade form and output injection. SIAM J. Control Optim. 53 (2015) 3195–3227. [Google Scholar]
  11. J.P. Gauthier, H. Hammouri and S. Othman, A simple observer for nonlinear systems. Application to bioreactors. IEEE Trans. Autom. Control 37 (1992). [Google Scholar]
  12. G. Bornard and H. Hammouri, A high gain observer for a class of uniformly observable systems, in Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, vol. 122. (1991) 176–192. [Google Scholar]
  13. F. Deza, E. Busvelle, J.-P. Gauthier and D. Rakotopara, High gain estimation for nonlinear systems. Syst. Control Lett. 18 (1992) 295–299. [Google Scholar]
  14. G. Ciccarella, M. Dalla Mora and A. Germani, A Luenberger-like observer for nonlinear systems. Syst. Control Lett. 47 (1993) 537–556. [Google Scholar]
  15. J.-P. Gauthier and I. Kupka, Observability for systems with more outputs than inputs. Math. Z. 223 (1996) 47–78. [Google Scholar]
  16. J. Schaffner and M. Zeitz, Decentral nonlinear observer design using a block-triangular form. Int. J. Syst. Sci. 30 (1999). [Google Scholar]
  17. H. Shim, I.S. Young, H.S. Jin and H. Seo, Semi-global observer for multi-output nonlinear systems. Syst. Control Lett. 42 (2001) 233–244. [Google Scholar]
  18. H. Hammouri, B. Targui and F. Armanet, High gain observer based on a triangular structure. Int. J. Robust Nonlinear Control 12 (2002) 497–518. [Google Scholar]
  19. H. Hammouri and M. Farza, Nonlinear observers for locally uniformly observable systems. ESAIM: Control Optim. Calc. Var. 9 (2003) 353–370. [Google Scholar]
  20. N. Boizot, E. Busvelle and J.-P. Gauthier, An adaptive high-gain observer for nonlinear systems. Automatica 46 (2010) 1483–1488. [Google Scholar]
  21. H. Hammouri, G. Bornard and K. Busawon, High gain observer based on a structured nonlinear systems. IEEE-TAC 55 (2010). [Google Scholar]
  22. M. Farza, M. M'Saad, M. Triki and T. Maatoug, High gain observer for a class of non-triangular systems. Syst. Control Lett. 60 (2011) 27–35. [Google Scholar]
  23. V. Andrieu, Convergence speed of nonlinear Luenberger observer. SIAM J. Control Optim. 52 (2014) 2831–2856. [Google Scholar]
  24. P. Bernard, L. Praly and V. Andrieu, Observers for a non-Lipschitz triangular form. Automatica 82 (2017) 301–313. [Google Scholar]
  25. J.-P. Gauthier and G. Bornard, Observability for any u(t) of a class of nonlinear systems. IEEE Trans. Autom. Control 26 (1981) 922–926. [Google Scholar]
  26. J.-P. Gauthier and I. Kupka, Observability and observers for nonlinear systems. SIAM J. Control Optim. 32 (1994) 975–997. [Google Scholar]
  27. J.-P. Gauthier and I. Kupka. Deterministic Observation Theory and Applications. Cambridge University Press (2001). [Google Scholar]
  28. P. Jouan and J.-P. Gauthier, Finite singularities of nonlinear systems. Output stabilization, observability and observers. J. Dyn. Control Syst. 2 (1996) 255–288. [Google Scholar]
  29. P. Bernard, L. Praly, V. Andrieu and H. Hammouri, On the triangular canonical form for uniformly observable controlled systems. Automatica 85 (2017) 293–300. [CrossRef] [Google Scholar]
  30. R. Hermann and A.-J. Krener, Nonlinear controllability and observability. IEEE Trans. Autom. Control AC-22 (1977) 728–740. [Google Scholar]
  31. K. Kurdyka, Points regulier d'un sous-analytique. Ann. Inst. Fourier (1988) 133–156. [Google Scholar]
  32. E. Bierstone, P. Milman and W. Pawluki, Composite differentiable functions. Duke Math. J. 83 (1996) 607–620. [Google Scholar]
  33. A.J. Krener and A. Isidori, Linearization by output injection and nonlinear observers. Syst. Control Lett. 3 (1983) 47–52. [Google Scholar]

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