Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7151779 | Systems & Control Letters | 2014 | 6 Pages |
Abstract
This paper is concerned with the eigenvalue decay of the solution to operator Lyapunov equations with right-hand sides of finite rank. We show that the kth (generalized) eigenvalue decays exponentially in k, provided that the involved operator A generates an exponentially stable analytic semigroup, and A is either self-adjoint or diagonalizable with its eigenvalues contained in a strip around the real axis. Numerical experiments with discretizations of 1D and 2D PDE control problems confirm this decay.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Luka GrubiÅ¡iÄ, Daniel Kressner,