Metodo della deparametrizzazione applicato a problemi di controllo tipo ritardato

Abstract

We obtain an existence theorem for the minimum of the functional $F(x,u)=∈t₀^Tf(t,x(t),x(ω(t)),u(t))$ associated to the differential equation $\dot{x}(t)=g(t.x(t),x(w(t)),u(t))$ a.e. $t∈ (0,T)$, reducing our problem a simpler model where control variables are not present.