We consider a finite horizon optimal control problem for an ODE system, with trajectories presenting a delayed two-values switching along a fixed direction. In particular the system exhibits hysteresis. Due to the presence of the switching component of the trajectories, several definitions of value functions are possible. No one of this value functions is in general continuous. We prove that, under general hypotheses, the least value function"
Optimal control of finite horizon type for a dimensional delayed switching system / Bagagiolo, Fabio. - ELETTRONICO. - (2003), pp. 1-37.
Optimal control of finite horizon type for a dimensional delayed switching system
Bagagiolo, Fabio
2003-01-01
Abstract
We consider a finite horizon optimal control problem for an ODE system, with trajectories presenting a delayed two-values switching along a fixed direction. In particular the system exhibits hysteresis. Due to the presence of the switching component of the trajectories, several definitions of value functions are possible. No one of this value functions is in general continuous. We prove that, under general hypotheses, the least value function"File in questo prodotto:
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