8 citations · 8 across the 4 of their papers we have counts for
4 papers
limit solutions in impulsive control
Monica Motta, Caterina Sartori
We consider a nonlinear control system depending on two controls u and v, with dynamics affine in the (unbounded) derivative of u, and v appearing initially only in the drift term.…
Unbounded variation and solutions of impulsive control systems
Monica Motta, Caterina Sartori
We consider a control system with dynamics which are affine in the (unbounded) derivative of the control . We introduce a notion of generalized solution on for contr…
Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data
Monica Motta, Caterina Sartori
In this paper we give a representation formula for the limit of the fnite horizon problem as the horizon becomes infinite, with a nonnegative Lagrangian and unbounded data. It is r…
The value function of an asymptotic exit-time optimal control problem
Monica Motta, Caterina Sartori
We consider a class of exit--time control problems for nonlinear systems with a nonnegative vanishing Lagrangian. In general, the associated PDE may have multiple solutions, and kn…