On systems of ordinary differential equations with measures as controls
We study a general class of nonlinear systems of ordinary differential equations, whose right-hand sides depend linearly on a vector valued measure. This measure is viewed as the distributional derivative of a control function with bounded variation. We discuss existence, uniqueness and continuous dependence of the solutions on the controls. Our interest in this kind of differential systems is mainly motivated by some recent applications of control theory in rational mechanics.
nonlinear systems of ordinary differential equations
continuous dependence of the solutions on the controls
scientific article; zbMATH DE number 4208603