In this note we present a simple application of the method developed by one of us in recent years to prove general smooth, nonsmooth, high-order, and hybrid versions of the maximum principle (abbr.… (More)

The paper analyzes a Lagrangian system which is controlled by directly assigning some of the coordinates as functions of time, by means of frictionless constraints. In a natural system of… (More)

We consider control systems governed by nonlinear O.D.E.'s that are affine in the time-derivative du/dt of the control u. The latter is allowed to be an integrable, possibly of unbounded variation… (More)

The paper is concerned with mechanical systems which are controlled by implementing a number of time-dependent, frictionless holonomic constraints. The main novelty is due to the presence of… (More)

The formal extension of the conventional theory of dynamic programming to control problems with slow growth and a state constraint x 2 encounters two major drawbacks: on one hand the formal… (More)

We investigate the possibility of describing the “limit problem” of a sequence of optimal control problems (P)(bn), each of which is characterized by the presence of a time dependent vector valued… (More)

In most applications of control theory to mechanics the control is identified with a force, or with a torque. However, in some concrete situations, the forces are in fact unknown, whereas what one is… (More)