An optimal control algorithm is proposed for impulsive differential systems, ie, systems
evolving according to ordinary differential equations between any two control actions …

We consider the optimal control problem of feeding in minimal time a tank where several
species compete for a single resource, with the objective being to reach a given level of the …

In this paper we consider an impulsive extension of an optimal control problem with
unbounded controls, subject to endpoint and state constraints. We show that the existence of …

This article investigates the properness, or well-posedness, of impulsive extension of a
conventional optimal control problem. This includes both well-posedness of the solution to …

There is an increasing number of applications whose trajectories are better modeled by
discontinuous or impulsive trajectories. Thus, we explore optimality conditions for impulsive …

Some problems of Calculus of Variations do not have solutions in the class of classic
continuous and smooth arcs. This suggests the need of a relaxation or extension of the …

After recalling the notion of ℒ 1 L^1 limit solution for a dynamics which is affine in the
(unbounded) derivative of the control, we focus on the possible occurrence of the Lavrentiev …

For a control Cauchy problem x˙= f (t, x, u, v)+∑ α= 1 mg α (x) u˙ α, x (a)= x¯, on an interval
[a, b], we propose a notion of limit solution x, verifying the following properties: i) x is defined …

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 …

An impulsive control problem with state constraints is considered. A Pontryagin maximum
principle in the framework of RV Gamkrelidze is derived, being its proof based on a certain …