Comments on "On the Lyapunov matrix equation"
J. Montemayor, Baxter F. Womack · IEEE Transactions on Automatic Control · 1975
The Lyapunov matrix equationA'Q + QA = - Pis considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matricesQandPprovidedAis a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.