The estimation of the solutions matrix of the perturbed discrete time algebraic Riccati equation

In this paper, the estimation problem of the solution matrix about the perturbed discrete time algebraic Riccati equation (PDTARE) is discussed. The estimation of upper and lower bounds of the solution matrix to the equation under a certain uncertainty assumption are presented by applying the matrix calculation property, and the estimation results are given by a matrix inequality and a discrete time algebra Riccati equations (DTARE). Finally, the effectiveness of above results is shown by an example.