A new lower bound on the cost of optimal regulators

A new lower bound on the cost of optimal regulators
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DOI:
10.1109/tac.1979.1102020
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发表时间:
1979-04
影响因子:
6.8
通讯作者:
G. Langholz
G. Langholz
中科院分区:
计算机科学2区
文献类型:
--
作者:
G. Langholz

文献摘要

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利用近年来关于代数矩阵Riccati和Lyapunov方程范数界的一些结果,导出了线性调节器二次代价的一个新的下界。由此得到的界在计算上是非常有吸引力的,并且与初始条件无关。
A new lower bound on the quadratic cost of linear regulators is derived using some recently established results on norm bounds for the algebraic matrix Riccati and Lyapunov equations. The bound thus obtained is very attractive computationally and is independent of the initial conditions.