New Lower Bounds of Solution of Generalized Lyapunov Equations

摘要

This paper discusses further results for the solution bounds of the algebraic generalized Lyapunov equations (the GLE). Some new lower matrix bounds for the solutions of the GLE are derived by making use of linear algebraic techniques. It is shown that, from the obtained results, new lower solution bounds of the continuous and discrete Lyapunov equations can also be obtained directly.