New Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation
Richard Davies, Peng Jia Shi, Ron Wiltshire · Victoria University Research Repository (Victoria University) · 2008
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation (CARE) are derived. Following the derivation of each bound, iterative algorithms are developed for obtaining sharper solution estimates. These bounds improve the restriction of the results proposed in a previous paper, and are more general. The proposed bounds are always calculated if the stabilizing solution of the CARE exists. Finally, numerical examples are given to demonstrate the effectiveness of the present schemes.