ABSTRACT

The overall problem is to select an admissible control law u = u(t,x), usually in the feedback form, such that through the corresponding state x issued from a at time 0 sends in finite time the initial position a to some point x(t*} fulfilling (2.3) and keeps the state vector x ( t ) on the sliding manifold (2.4) for all t > t* (in a prescribed time interval).