Nonsmooth control problems in banach state space

Abstract

Necessary conditionc are proved for optimal solutiotls in deterministic control Prlroblems where the state space is a general Banach space, and where the right hand side of the ordinary differential equation is Lipschitz continuous with respect to the stat. Directional derivatives In an ordinary or extended sense are tools used.

Keywords:

• Nonsmooth Control
• Infinite-Dimensional Control Problems

^∗Useful Comments from Referees on an Earlier Version are Gratefully Ackrlowledged. The Comments Lead to Many Improvements of the Text

^∗Useful Comments from Referees on an Earlier Version are Gratefully Ackrlowledged. The Comments Lead to Many Improvements of the Text

Notes

^∗Useful Comments from Referees on an Earlier Version are Gratefully Ackrlowledged. The Comments Lead to Many Improvements of the Text