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Observability of autonomous discrete time non-linear systems: a geometric approach. (English) Zbl 0492.93012


MSC:

93B07 Observability
93C10 Nonlinear systems in control theory
93C55 Discrete-time control/observation systems
93B10 Canonical structure
37C80 Symmetries, equivariant dynamical systems (MSC2010)
57R30 Foliations in differential topology; geometric theory
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References:

[1] GAUTHIER J. P., I.E.E.E. Trans. autom. Control 26 pp 922– (1981) · Zbl 0553.93014 · doi:10.1109/TAC.1981.1102743
[2] GORI-GIORGI C., Ricerche di Automatica 9 pp 201– (1978)
[3] HERMANN R., I.E.E.E. Trans. autom. Control 22 pp 728– (1977) · Zbl 0396.93015 · doi:10.1109/TAC.1977.1101601
[4] HIRSCH M. W., Invariant manifolds (1977)
[5] HIRSCHORN R. M., SI AM Jl Control 19 pp 1– (1981) · Zbl 0474.93036 · doi:10.1137/0319001
[6] ISIDORI A., I.E.E.E. Trans. autom. Control 26 pp 331– (1981) · Zbl 0481.93037 · doi:10.1109/TAC.1981.1102604
[7] LJUNG L., I.E.E.E. Trans. autom. Control 26 pp 331– (1979)
[8] NIJMEIJER H., I.E.E.E. Trans. autom. Control 27 pp 904– (1982) · Zbl 0492.93035 · doi:10.1109/TAC.1982.1103025
[9] SONTAG E. D., SI AM Jl Control 17 pp 139– (1979) · Zbl 0409.93013 · doi:10.1137/0317011
[10] SPIVAK M., Differential Geometry (1970)
[11] TAKENS F., Dynamical Systems and Turbulence (1981) · Zbl 0513.58032
[12] WONHAM W. M., Linear Multivariable Control (1979) · Zbl 0424.93001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.