Monica Motta

Dynamic Programming for Nonlinear Systems Driven by Ordinaryand Impulsive Controls

A dynamic programming approach is considered for a class of minimum problems with impulses. The minimization domain consists of trajectories satisfying an ordinary differential equation whose right-hand side depends not only on a measurable control

Nonlinear systems with unbounded controls and state constraints: a problem of proper extension

v

Minimum Time with Bounded Energy, Minimum Energy with Bounded Time

but also on a second control

Asymptotic controllability and optimal control

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Finite Fuel Problem in Nonlinear Singular Stochastic Control

and on its time derivative

Discontinuous Solutions to Unbounded Differential Inclusions under State Constraints. Applications to Optimal Control Problems

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The value function of an asymptotic exit-time optimal control problem

. For this reason, the control

On an Extended Notion of Controllability

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Analysis and Geometry in Control Theory and its Applications

and the differential equation are called impulsive. The value function of the considered minimum problem turns out to depend on the time, the state, the

Weakly Coercive Problems in Nonlinear Stochastic Control: Existence of Optimal Controls

u