Abstract
The observability of discrete time nonlinear systems is studied. Criteria of observability are given in terms of codistributions. This leads naturally to decompositions similar to the ones known in the continuous time case. Some observability properties of invertible systems are also investigated. In particular, it is shown that, under regularity hypotheses, the weaker notion of forward-backward observability is equivalent to the one of (forward) observability, for these systems.
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Albertini, F. and Sontag, E.D. (1994) Discrete-time transitivity and accessibility: analytic systems. SIAM J. Control and Opt., 31, 1599–622.
Hermann, R. and Krener, A.J. (1977) Nonlinear controllability and observability. IEEE Trans. Automat. Control., AC -22, 728–40.
Isidori, A. (1989) Nonlinear Control Systems. 2nd edition, Springer Verlag, Berlin.
Jakubczyk, B. and Sontag, E.D. (1990) Controllability of nonlinear discrete-time systems: A Lie-algebraic approach, SIAM J. Control and Opt., 28, 1–33.
Monaco, S. and Normand-Cyrot, D. (1984) Invariant distributions for discrete time nonlinear systems. Systems and Control Letters, 5, 191–6.
Nijmeijer, H. (1982) Observability of autonomous discrete time non-linear systems: a geometric approach. Int.J.Control, 36, 867–74.
Nijmeijer, H. and Van der Schaft, A. J. (1990) Nonlinear Dynamical Control Systems. Springer-Verlag, New York.
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© 1996 Springer Science+Business Media Dordrecht
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Albertini, F., D’Alessandro, D. (1996). Remarks on the observability of nonlinear discrete time systems. In: Doležal, J., Fidler, J. (eds) System Modelling and Optimization. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34897-1_16
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DOI: https://doi.org/10.1007/978-0-387-34897-1_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-6671-4
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