Directional derivatives and the control of nonsmooth systems

Abstract

Combining standard results in nonsmooth analysis, for nonsmooth control problems this paper establishes necessary conditions for optimality based on directional derivatives and (more generally) contingent derivatives. It is shown in simple examples taht the application of directional derivatives in certain cases can reduce the set of candidate for optimality as compared to the set of candidates obtained from other necessary conditions

Keywords:

• Optimal Control
• Necesarry Conditions for Optimality
• Nonsmooth Control