New series lower bounds for the solution of the continuous algebraic Riccati equation

In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation (CARE), applying the properties of matrix's Schur complement and special matrix inequality, we propose new series lower bounds for the solution of the CARE. Further, new lower matrix bounds for the solution of the CARE are developed. Finally, we give a corresponding numerical example to illustrate the effectiveness of the derived results.