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Sur la synchronisation et le cryptage de systèmes chaotiques à temps discret utilisant les techniques d'agrégation et la représentation en flèche des matrices

Abstract : The objective of this thesis was to develop a method for synthesizing control state feedback and observers by offering soft synthesis conditions in the case of nonlinear discrete-time systems. In this method, is highlighting the importance of choosing the systems description of the scope of what can be achieved when the stability study method is fixed. The use of of vector norms as an aggregation function and the practical Borne-Gentina criterion for stability study, associated to arrow form matrix of Benrejeb for system discription, lead to the development of new sufficient conditions for stabilization of nonlinear discrete dynamical systems, formulated as theorems and corollaries. These results are then used, with success, for the formulation of new sufficient conditions for checking properties of hyperchaotiques synchronization for discrete-time systems. Then, the synthesis of observer is validated in two types of chaotic transmission
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Rania Linda Filali. Sur la synchronisation et le cryptage de systèmes chaotiques à temps discret utilisant les techniques d'agrégation et la représentation en flèche des matrices. Autre. Ecole Centrale de Lille, 2013. Français. ⟨NNT : 2013ECLI0007⟩. ⟨tel-00858272⟩

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