Simultaneous Null Controllability for Two Stroke Nonlinear Systems: Application to the Sentinel of Detection in Population Dynamics Model with Incomplete Data

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Résumé

This paper deals with the simultaneous null controllability for some nonlinear two stroke systems. We shall solve this problem by transforming the simultaneous null controllability of uncoupled initial systems into a null controllability of a coupled system via a change of variables. This last problem is solved thanks to a global Carleman inequality, appropriates estimates adapted to the system and via some fixed point theorems. The obtained results are used to build a simultaneous sentinel of detection in a population dynamics model with incomplete data.

Mots-clés

Controllability, Mathematics, Null (SQL), Nonlinear system, Null hypothesis, Population, Applied mathematics, Control theory (sociology), Mathematical optimization, Statistics, Computer science, Artificial intelligence, Control (management), Data mining