Approximate Optimal Control for a Parabolic System with Perturbations in the Coefficients on the Half-Axis
О. А. Капустян, Oleksiy V. Kapustyan, Anton Ryzhov, Valentyn Sobchuk
Abstract
In this paper, we use the averaging method to find an approximate solution in the optimal control problem of a parabolic system with non-linearity of the form f(t/ε,y) on an infinite time interval.
Topics & Concepts
Interval (graph theory)MathematicsParabolic partial differential equationMathematical analysisOptimal controlControl (management)LinearityControl theory (sociology)Applied mathematicsPhysicsMathematical optimizationComputer sciencePartial differential equationCombinatoricsArtificial intelligenceQuantum mechanicsDifferential Equations and Boundary ProblemsDifferential Equations and Numerical MethodsWater Resources and Management