3 papers
math.OC2017
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.…
math.OC2017
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…
math.OC2012
Necessary conditions involving Lie brackets for impulsive optimal control problems; the commutative case
Maria Soledad Aronna, Franco Rampazzo
In this article we study control problems with systems that are governed by ordinary differential equations whose vector fields depend linearly in the time derivatives of some comp…