论文标题
离散时间Zames-Falb乘数的二元性界限
Duality bounds for discrete-time Zames-Falb multipliers
论文作者
论文摘要
我们根据Banach空间的分离定理开发离散时间Zames-Falb乘数的相位限制。与他们的连续时间对应物相反，它们导致数值有效的结果，可以以封闭形式或线性程序计算。从某种意义上说，封闭形式的相位限制很紧，我们可以构建以平等与它们相遇的乘数。我们讨论了文献中局限性比其他局限性更强的数值示例。数值结果补充了文献中的乘数；它们使我们能够通过构造表明存在合适的Zames-Falb乘数的植物集为非凸面。
We develop phase limitations for the discrete-time Zames-Falb multipliers based on the separation theorem for Banach spaces. By contrast with their continuous-time counterparts they lead to numerically efficient results that can be computed either in closed form or via a linear program. The closed-form phase limitations are tight in the sense that we can construct multipliers that meet them with equality. We discuss numerical examples where the limitations are stronger than others in the literature. The numerical results complement searches for multipliers in the literature; they allow us to show, by construction, that the set of plants for which a suitable Zames-Falb multiplier exists is non-convex.
