H-solvability of optimal control problem for degenerate parabolic variation inequality

Optimal Control for Degenerate Parabolic Equations

This paper considers the optimal control of a degenerate parabolic partial differential equation governing a di usive population with logistic growth terms. Assuming this population causes damage to forest and agricultural land, the optimal control is the trapping rate and the cost functional is a combination of the damage and trapping costs. We prove existence, uniqueness, and regularity resul...

Solvability for Parabolic Poincaré Problem

Optimal control and Riccati equation for a degenerate parabolic system

In this paper, we consider a stabilization problem for a fluid flow. For a perturbation of the velocity of an incoming flow on a flat plate, the laminar-to-turbulent transition location varies. We want to stabilize it by a suction velocity trough the plate. The linearization of the nonlinear model around a steady state solution leads to a linear degenerate parabolic equation. We look for a suct...

Numerical method for solving optimal control problem of the linear differential systems with inequality constraints

In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...

Optimal Control of the Obstacle for a Parabolic Variational Inequality

Abstract. An optimal control problem for a parabolic obstacle variational inequality is considered. The obstacle in L 0; T ;H( ) \H 0 ( ) with t 2 L (Q) is taken as the control, and the solution to the obstacle problem taken as the state. The goal is to nd the optimal control so that the state is close to the desired pro le while the norm of the obstacle is not too large. Existence and necessar...