Predictive Chaos Control for the 1D-map of Action Potential Duration
Résumé
In the present work, a nonlinear control method namely predictive control
is investigated. The proposed method allows stabilizing unstable period-1 rhythm.
Using mathematical analysis and computer simulations, we show that this method
can be used to control chaotic behavior or pathological rhythms. As example, the
results are illustrated in the case of the 1D-map action potential duration (APDi+1)
which modelizes the cardiac action potential duration as the function of the previous
one (APDi).