Solutions on a class of uncertain second-order matrix equations

The problem of solving a class of uncertain second-order matrix equations is studied. Based on the parametric solutions to the second-order matrix equation, the problem of solving the uncertain second-order matrix equation is changed into a problem of minimizing the error performance. Thus an algorithm to solve the uncertain second-order matrix equation is presented. A numerical example and its simulation analysis show the effectiveness and robustness of the proposed algorithm.