The Kalman–Yakubovich–Popov lemma is a result in system analysis and control theory which states: Given a number >, two n-vectors B, C and an n x n Hurwitz matrix A, if the pair (,) is …

Kalman–Yakubovich–Popov引理 （Kalman–Yakubovich–Popov lemma）是 系統分析 及 控制理论 的結果，其中提到：給定一數 ，二個n維向量B, C，及n x n的 赫維茲穩定矩陣 A（所有特徵值 …

KY引理给出了至关重要的 频域条件 与 状态空间条件 之间的等价关系，基于这种等价关系，可以直接对某一个渐近稳定且可控的线性系统运用控制理论中的多种重要定理，比如直接判断状态空 …

Kalman-Yakubovich-Popov (KYP) Lemma (also frequently called “positive real lemma”) is a major result of the modern linear system theory. It is a collection of statements related to existence …

We use the term Kalman-Yakubovich-Popov(KYP)Lemma, also known as the Positive Real Lemma, to refer to a collection of eminently important theoretical statements of modern control …

Kalman-Yakubovich-Popov Lemma 1 A simplified version of KYP lemma was used earlier in the derivation of optimal H2 controller, where it states existence of a stabilizing solution of a …

2021年4月30日 · The Kalman–Popov–Yakubovich (KYP) Lemma is a widely used lemma in control theory. It is sometimes also referred to as the Bounded Real Lemma. The KYP lemma …

The positive-real version originally appeared in [Yak62], and both are instances of what is now called the Kalman–Yakubovich–Popov (KYP) lemma. Let A ∈ Rn×n, B ∈ Rn×p, C ∈ Rp×n and …

The Kalman-Yakubovich-Popov (KYP) lemma has been a cornerstone in system theory and network analysis and synthesis. It relates an analytic property of a square transfer matrix in the …

Kalman–Popov–Yakubovich (KYP) 引理是控制理论中广泛使用的引理。 它有时也被称为有界实引理。 KYP 引理可用于确定 H ∞ {\displaystyle H_{\infty }} 系统的范数，也适用于证明许多LMI …