Necessary conditions for distributed optimal control of linearized compressible Navier-Stokes equations with state constraint

Autor:	Doboszczak, Stefan, Mohan, Manil T., Sritharan, Sivaguru S.
Rok vydání:	2019
Předmět:	Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	A Pontryagin maximum principle for an optimal control problem in three dimensional linearized compressible viscous flows is established using the Ekeland variational principle. The controls are distributed over a bounded domain, while the state variables are subject to a set of constraints and governed by the linearized compressible Navier-Stokes equations. The maximum principle is of integral-type and obtained for minimizers of a tracking-type integral cost functional.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.11244 Zobrazit plný text záznamu View this record from Arxiv