${\mathcal{L}}^1$ limit solutions for control systems

M. Soledad Aronna, Franco Rampazzo

For a control Cauchy problem $$\dot{x}=f(t,x,u,v)+\sum _{\alpha =1}^m{g}_{\alpha }(x){\dot{u}}_{\alpha },x(a)=\bar{x},$$ on an interval $[a,b]$, we propose a notion of limit solution $x,$ verifying…