SIAM Journal on Control and Optimization, Volume 58, Issue 6, Page 3342-3362, January 2020.
The Kreiss constant $K(A)$ of a stable matrix $A$ conveys information about the transient behavior of system trajectories in response to initial conditions. We present an efficient way to compute the Kreiss constant $K(A)$, and we show how feedback can be employed to make the Kreiss constant $K(A_{cl})$ in closed loop significantly smaller. This is expected to reduce transients in the closed loop trajectories. The proposed method is compared to potential competing techniques.

中文翻译：

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优化Kreiss常数

SIAM控制与优化杂志，第58卷，第6期，第3342-3362页，2020年1月
。稳定矩阵$ A $的Kreiss常数$ K（A）$传达有关系统轨迹对初始响应的瞬态行为的信息。条件。我们提出了一种计算Kreiss常数$ K（A）$的有效方法，并且展示了如何利用反馈使闭环中的Kreiss常数$ K（A_ {cl}）$显着减小。预期这将减少闭环轨迹中的瞬变。将该方法与潜在的竞争技术进行了比较。