Convergence of the DRE solution to the ARE strong solution

Abstract

In this paper, we use the boundary solutions to a linear matrix inequality (LMI) associated with Kalman filtering to investigate the convergence of the solution of a differential Riccati equation (DRE) to the so-called strong solution of an algebraic Riccati equation (ARE). We furthermore extend our results to Kalman filtering with indefinite input noise covariances.