binary dynamic system, linear, non-linear, linearization, dynamic observation, Sylvester matrix equation, convergence rate, nilpotency index " />

DYNAMIC OBSERVATION OF NON-LINEAR BINARY DYNAMIC SYSTEM

A. V. Ushakov, E. S. Yaitskaya


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Abstract

 

The dynamic observation concept transfer developed with reference to the discrete systems over infinite fields to
the systems over finite binary Galois fields. Authors have concentrated the attention to dynamic observing
realization over a condition of non–linear binary dynamic systems (BDS) taking into account decision practice of
this problem for linear BDS case. The task is dared in three stages: linearization of nonlinear BDS, formation of
dynamic observing process of linearized BDS and observing division over a condition of initial nonlinear BDS.
The example is supplied.

Keywords:   binary dynamic system, linear, non-linear, linearization, dynamic observation, Sylvester matrix equation, convergence rate, nilpotency index
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