Controllability properties of dynamical systems with hysteresis

Relatore:  Marta Zoppello - Università di Trento
  mercoledì 7 dicembre 2016 alle ore 11.30
In the framework of dynamical control systems in which the controls are the components of a magnetic field, it is natural to consider a hysteresis phenomenon which can be modeled inserting in the equation a so-called hysteresis operator. This kind of operators are non linear and non differentiable, moreover the dependence on the past history prevents the use of local techniques, and hence the application of classical tools in geometric control theory is not immediate to get controllability results.
More precisely we focused on affine control systems, of which the magnetic microswimmer model is an example, and we analyzed how to introduce an hysteresis operator. We introduced in the system the Play operator in two different ways. On one hand we applied it on the controls and prove that if the system without hysteresis is controllable, we are always able to fine a sequence of continuous controls that makes the system with hysteresis controllable. On the other hand we can introduce the hysteresis on the state variables and we are able to recover some approximate controllability results for a class of affine control systems that have specific characteristics.

Room: Sala Verde

 

Referente
Antonio Marigonda

Referente esterno
Data pubblicazione
5 dicembre 2016

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