Optimal control problems within the class of generalized solutions

Abstract

In this Chapter we return to the general nonlinear system described by the equation

$$\dot{X}(t) = F(X(t),u(t),w(t),t),$$

which satisfies Assumption 4.1 of the previous Chapter, so as F(x,u,w,t) is a given continuous function, which is the Lipschitz one with respect to (x,w) ∈ Rⁿ × R^m, and has a linear growth with respect to x, and w.