Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
Karite, Touria, Boutoulout, Ali, Torres, Delfim F. M.
2020Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)20 citationsOpen Access PDF
Abstract
We investigate the exact enlarged controllability and optimal control of a fractional diffusion equation in Caputo sense. This is done through a new definition of enlarged controllability that allows us to extend available contributions. Moreover, the problem is studied using two approaches: a reverse Hilbert uniqueness method, generalizing the approach introduced by Lions in 1988, and a penalization method, which allow us to characterize the minimum energy control.
Topics & Concepts
ControllabilityUniquenessMathematicsHilbert spaceApplied mathematicsControl (management)DiffusionOptimal controlMathematical analysisPure mathematicsMathematical optimizationComputer sciencePhysicsThermodynamicsArtificial intelligenceFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equations