Optimizing the Kreiss constant
arXiv:1910.12572
Abstract
The Kreiss constant of a stable matrix conveys information about the transient behavior of system trajectories in response to initial conditions. We present an efficient way to compute the Kreiss constant , and we show how feedback can be employed to make the Kreiss constant in closed loop significantly smaller. This is expected to reduce transients in the closed loop trajectories. The proposed approached is compared to potential competing techniques.
18 pages, 7 figures