Stability of set differential equations and applications (Q1030039)

The authors consider the set differential equation (SDE) \[ D_{H}X=F(t,X),\quad X(t_0)=X_0, \] where \(D_HX(t)\) at a point \(t\) is the derivative in the sense of Hukuhara. We point out that the Hausdorff metric is involved. In a series of recent papers, the classical Lyapunov results on stability for ordinary differential equations were extended to (SDE). Here, the authors give new results in this direction (exponential stability) and apply them to a set control differential system.