Necessary Conditions for Free End-Time, Measurably Time Dependent Optimal Control Problems with State Constraints

摘要: Recently, necessary conditions have been derived for fixed-time optimal control problems with state constraints, formulated in terms of a differential inclusion, under very weak hypotheses on the data. These allow multifunction describing admissible velocities to be unbounded and possibly nonconvex valued. This paper extends earlier conditions, free end- times. A notable feature new end-time is that they cover measurably time dependent For such problems, standard analytical techniques deriving free-time which depend transformation variable, no longer work. Instead, we use variational methods based calculus 'essential values'.