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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2017

Forward and backward shifts of vector fields: towards the dual algebraic framework

Tanel Mullari
  • Fonction : Auteur
  • PersonId : 933145
Ülle Kotta
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  • PersonId : 862637
Zbigniew Bartosiewicz
  • Fonction : Auteur
  • PersonId : 933144
Ewa Pawluszewicz
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  • PersonId : 938621
Claude H. Moog

Résumé

An algebraic framework for discrete-time nonlinear control systems is introduced, based on the forward and backward shifts of the vector fields. It appears to be the dual of the framework based on the differential 1-forms. As applications, the characterization of accessibility and the solution to the static state feedback linearization problem are stated in terms of the given vector fields.
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Dates et versions

hal-01372333 , version 1 (27-09-2016)

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Citer

Tanel Mullari, Ülle Kotta, Zbigniew Bartosiewicz, Ewa Pawluszewicz, Claude H. Moog. Forward and backward shifts of vector fields: towards the dual algebraic framework. IEEE Transactions on Automatic Control, 2017, 62 (6), pp.3029-3033. ⟨10.1109/TAC.2016.2608718⟩. ⟨hal-01372333⟩
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