A general class of nonlinear systems of ordinary differential equations is studied 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 system is mainly motivated by some resent applications of control theory in rational mechanics.
On systems of ordinary differential equations with measures as controls.
RAMPAZZO, FRANCO
1991
Abstract
A general class of nonlinear systems of ordinary differential equations is studied 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 system is mainly motivated by some resent applications of control theory in rational mechanics.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
