Search

We show that control systems with an analytic semigroup and control and observation operators that are not too unbounded have a Hankel operator that belongs to the Schatten class S-p for all positive p. This implies that the...

Model order reduction Infinite-dimensional systems Hankel operator

We show that control systems with an analytic semigroup and control and observation operators that are not too unbounded have a Hankel operator that belongs to the Schatten class S-p for all positive p. This implies that the...

Model order reduction Infinite-dimensional systems Hankel operator

We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm approximation under the assumption that the Hankel operator is nuclear. This is an improvement of the result from Glover, Curtain...

infinite-dimensional system model reduction Hankel operator realization balanced realization optimal Hankel norm approximation

We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm approximation under the assumption that the Hankel operator is nuclear. This is an improvement of the result from Glover, Curtain...

infinite-dimensional system model reduction Hankel operator realization balanced realization optimal Hankel norm approximation