论文标题
关于线性系统的iOS获取和渐近增长的关系
On the Relation of IOS-Gains and Asymptotic Gains For Linear Systems
论文作者
论文摘要
本文介绍了线性系统的输出增益（OAG）和输入到输出稳定性（IOS）的基本关系。对于任何输入到州稳定，严格的因果线性系统，最小OAG等于最小iOS增益。此外，可以通过解决特定的最佳控制问题并仅考虑周期性输入来计算这两个量。结果对于广泛的线性系统（涉及延迟系统或PDE所描述的系统）有效。最小iOS增益的表征很重要，因为它允许对iOS收益进行非保守计算，该计算可用于小型分析。该论文还提供了许多有限维线性系统的情况，其中可以执行最小iOS增益的精确计算。
This paper presents a fundamental relation between Output Asymptotic Gains (OAG) and Input-to-Output Stability (IOS) gains for linear systems. For any Input-to-State Stable, strictly causal linear system the minimum OAG is equal to the minimum IOS-gain. Moreover, both quantities can be computed by solving a specific optimal control problem and by considering only periodic inputs. The result is valid for wide classes of linear systems (involving delay systems or systems described by PDEs). The characterization of the minimum IOS-gain is important because it allows the non-conservative computation of the IOS-gains, which can be used in a small-gain analysis. The paper also presents a number of cases for finite-dimensional linear systems, where exact computation of the minimum IOS gain can be performed.
