Necessary Optimality Conditions for Optimal Control Problems in the Presence of Degeneration
A. V. Arutyunov, S. E. Zhukovskiy
Abstract
We study optimal control problems in which the condition of maximum of the Hamilton–Pontryagin function degenerates for the optimal pair at some point. New additional necessary conditions are obtained for such problems.
Topics & Concepts
MathematicsDegeneration (medical)Optimal controlOrdinary differential equationPartial differential equationMathematical optimizationControl (management)Applied mathematicsControl theory (sociology)Mathematical analysisComputer scienceDifferential equationArtificial intelligenceMedicinePathologyAquatic and Environmental StudiesMaterial Science and ThermodynamicsOptimization and Variational Analysis