On bounds of Lyapunov's matrix equation
José C. Geromel, J. Bernussou · IEEE Transactions on Automatic Control · 1979
In this paper, new bounds are given for the matrix solution of the Lyapunov equationA'P+ PA+Q=0. It is shown that it is always possible to achieve a lower bound, while the upper bound can be obtained for a specified class ofQmatrices which is given. The results are compared to those given in [1] through some examples.