Sharp Error Estimates for a Finite Element-Penalty Approach to a Class of Regulator Problems
Sharp Error Estimates for a Finite Element-Penalty Approach to a Class of Regulator Problems
Quadratic cost optimal controls can be solved by penalizing the governing linear differential equation [2], [9].In this paper, we study the numerical analysis of this approach using finite elements.We formulate the geometric condition (H) which requires that pairs of certain related finite-dimensional approximation spaces form "angles" which are bounded away …